Kevin Casanova Santini: Hi friends, this is my NEW COLOMBIAN THEOREM OF THE ZERO EXPONENT AND OF THE DIVISION OF POWERS OF EQUAL OR SAME BASE

Author: Kevin A. Casanova Santini G.

from Cali, Colombia

Demonstrated by the “Compound Interest Formula” or “Period Value Formula” or “Past and Future Value Formula” in the zero period and in the first period.

1) OBJECTIVE

This my new theorem will show or prove that “any quantity or number raised to the zero exponent is equal to zero (0)”, using the “period value formula” in the zero period of the humans on the Earth, when there were no humans on the Earth. The “compound interest formula” will be used in an example of a bank loan in the zero period.

The old theory of the zero exponent says that “any quantity or number raised to the zero exponent is equal to one (1)”, if that old theory is true, then in the zero period of the humans on the Earth there were two (2) humans in the world, but this is an error or mistake because in the zero period of the humans on the Earth, there were no humans in the world.

First period of the humans on the Earth starts or begins to run from the first two (2) humans (Adam and Eve) until today (year 2018), and the humans have been more of 7,632,819,325 humans in the world or Earth, at a 381,640,966,150% of growth (compound interest) rate, by this first period.

This demonstration will use the quantity two (2) humans like the “principal value” in the zero period when “zero period value” or “past value” must be equal to zero (0) humans, and in the first period when the “first period value” or “future value” must be equal to 7,632,819,325 humans, by the “period value formula”.

Also in the zero period by the “compound interest formula” the result “compound interest value” must be equal to zero (0) too, because in that zero period there was no the financial obligation, then the debt must be equal to zero (0).

This my “New Colombian Theorem of the Zero Exponent and of the Division of Powers of Equal or Same Base” is the contribution of my country Colombia for the mathematical sciences. It is an invitation to open the mind and rethink everything we have believed to know with absolute certainty for centuries, because we are dragging the old errors to this day. Sometimes we must turn the world map to evaluate it.

2) DEMONSTRATION USING THE “PERIOD VALUE FORMULA”

DEMONSTRATION OR VERIFICATION OF THAT THE NEW COLOMBIAN THEOREM OF THE ZERO EXPONENT IS CORRECT “ANY QUANTITY, NUMBER OR BASE RAISED TO THE ZERO EXPONENT IS EQUAL TO ZERO (0)”

Period Value Formula:

Period Value = principal value (1 + growth or interest rate)^TIME OR PERIOD

0 = 2 (1 + growth or interest rate)^0

0 / 2 = (1 + growth or interest rate)^0

0 = (1 + growth or interest rate)^0

(1 + growth or interest rate)^0 = 0

This result is correct and true because in the zero period of the humans on the Earth, there were no humans in the world, then the quantity of humans in the zero period must be equal to zero (0) humans.

Zero Period Value:

Period Value = principal value (1 + growth or interest rate)^ZERO PERIOD

0 = 2 (1 + 381,640,966,150%)^0

0 = 2 (1 + 3,816,409,661.50)^0

0 = 2 (3,816,409,662.50)^0

0 / 2 = (3,816,409,662.50)^0

0 = (3,816,409,662.50)^0

(3,816,409,662.50)^0 = 0

This result is correct and shows that any quantity raised to the zero exponent is equal to zero (0).

First Period Value:

Period Value = principal value (1 + growth or interest rate)^FIRST PERIOD

7,632,819,325 = 2 (1 + 381,640,966,150%)^1

7,632,819,325 = 2 (1 + 3,816,409,661.50)^1

7,632,819,325 = 2 (3,816,409,662.50)^1

7,632,819,325 = 7,632,819,325

This result is correct because the quantity of humans on the Earth for the first period must be equal to 7,632,819,325 humans that there are today in the year 2018.

If N0 = 0 ; then these will be the operations and results by the “Period Value Formula” or “Compound Interest Formula”:

Zero Period Value:

Period Value = principal value (1 + growth or interest rate)^ZERO PERIOD

Period Value = 2 (1 + 381,640,966,150%)^0

Period Value = 2 (1 + 3,816,409,661.50)^0

Period Value = 2 (3,816,409,662.50)^0

Period Value = 2 (0)

Period Value = 0

This result of the “Zero Period Value” is correct because in the zero period of the humans on the Earth there were no humans in the world.

First Period Value:

Period Value = principal value (1 + growth or interest rate)^FIRST PERIOD

Period Value = 2 (1 + 381,640,966,150%)^1

Period Value = 2 (1 + 3,816,409,661.50)^1

Period Value = 2 (3,816,409,662.50)

Period Value = 7,632,819,325

This result of the “First Period Value” is correct because in the first period of the humans on the Earth there are 7,632,819,325 humans in the world.

DEMONSTRATION OR VERIFICATION OF THAT THE OLD THEORY THAT SAYS “ANY QUANTITY OR NUMBER RAISED TO THE ZERO EXPONENT IS EQUAL TO ONE (1)”, IS AN ERROR OR MISTAKE

If N0 = 1 ; then these will be the operations and results by the “Period Value Formula” or “Compound Interest Formula”:

Zero Period Value:

Period Value = principal value (1 + growth or interest rate)^ZERO PERIOD

Period Value = 2 (1 + 381,640,966,150%)^0

Period Value = 2 (1 + 3,816,409,661.50)^0

Period Value = 2 (3,816,409,662.50)^0

Period Value = 2 (1)

Period Value = 2

This result is an error or mistake because in the zero period of the humans on the Earth (or before humans) there were no two (2) humans in the world. In that zero period there were no humans in the world.

If N0 = 1 ; then the results show the following errors: the number one (1) is equal to zero (0), or the number zero (0) is equal to two (2):

Zero Period Value:

Period Value = principal value (1 + growth or interest rate)^ZERO PERIOD

0 = 2 (1 + 381,640,966,150%)^0

0 = 2 (1 + 3,816,409,661.50)^0

0 = 2 (3,816,409,662.50)^0

Then here there are two results that show the error or mistake in the old theory:

0 = 2 (3,816,409,662.50)^0

0 = 2 (1)

0 = 2

This is an error or mistake that arises as a result of the old theory. The quantity or number two (2) is different from the quantity or number zero (0).

0 = 2 (3,816,409,662.50)^0

0 = 2 (1)

0 / 2 = 1

0 = 1

This is an error or mistake that arises as a result of the old theory. The quantity or number one (1) is different from the quantity or number zero (0).

3) DEMONSTRATION USING THE “COMPOUND INTEREST FORMULA”

DEMONSTRATION OR VERIFICATION OF THAT THE NEW COLOMBIAN THEOREM OF THE ZERO EXPONENT IS CORRECT “ANY QUANTITY, NUMBER OR BASE RAISED TO THE ZERO EXPONENT IS EQUAL TO ZERO (0)”

A bank grants to its customer a loan of 20,000 and this customer should pay an annual compound interest rate of 3%. How much should the customer pay to the bank in the zero period? In the zero period there was no debt or loan, then the payment must be equal to zero (0).

Compound Interest = principal value or initial capital (1 + interest rate)^TIME PERIOD

CI = p (1 + ir)^T

0 = 20,000 (1 + 0.3)^0

0 = 20,000 (1.3)^0

0 / 20,000 = (1.3)^0

0 = (1.3)^0

(1.3)^0 = 0

This result proves that “any quantity, number or base raised to the zero exponent is equal to zero (0)”.

Debt value or “Compound Interest Value” in the zero period, if N0 = 0:

CI = p (1 + ir)^T

CI = 20,000 (1 + 0.3)^0

CI = 20,000 (1.3)^0

CI = 20,000 (0)

CI = 0

This result is correct or true because in the zero period there were no loan or debt or financial obligation. Then the compound interest value must be zero (0).

DEMONSTRATION OR VERIFICATION OF THAT THE OLD THEORY THAT SAYS “ANY QUANTITY OR NUMBER RAISED TO THE ZERO EXPONENT IS EQUAL TO ONE (1)”, IS AN ERROR OR MISTAKE

If N0 = 1 ; then these will be the operations and results by the “Compound Interest Formula”:

Zero Period Value:

Liability to pay in the zero period when there was no debt or loan or financial obligation:

CI = p (1 + ir)^T

CI = 20,000 (1 + 0.3)^0

CI = 20,000 (1.3)^0

CI = 20,000 (1)

CI = 20,000

This result is an error or mistake, because in the zero period there was no debt of compound interest in the bank.

If N0 = 1 ; and the “Compound Interest Value” or “CI” must be equal to zero (0) in the zero period, then the following errors of the old theory are evident:

CI = p (1 + ir)^T

0 = 20,000 (1 + 0.3)^0

0 = 20,000 (1.3)^0

0 = 20,000 (1)

0 = 20,000

This result is an error or mistake of the old theory where the quantity raised to the zero exponent is equal to one (1), appearing these consequences in the results. It is an error because really the quantity 20,000 is different from the number zero (0).

CI = p (1 + ir)^T

0 = 20,000 (1 + 0.3)^0

0 = 20,000 (1.3)^0

0 = 20,000 (1)

0 / 20,000 = 1

0 = 1

This result is an error or mistake of the old theory where the quantity raised to the zero exponent is equal to one (1), appearing these consequences in the results. It is an error because really the quantity one (1) is different from the number zero (0).

4) CONCLUSION OF THE NEW COLOMBIAN THEOREM OF THE ZERO EXPONENT AND OF THE DIVISION OF POWERS OF EQUAL OR SAME BASE

Division of powers of equal or same base raised to different exponents:

Only for to divide powers of equal or same base raised to different exponents, the procedure must be to raise the base to an exponent that is the difference or subtraction between the exponent of the dividend and the exponent of the divisor. The subtraction between exponents shows how missing multiplications of the base by itself are needed for that the quantities dividend and divisor be equal, finding the factor or quotient that multiplied by the divisor produces a result equal to the dividend.

Division of powers of equal or same base raised to equal or same exponents:

For to divide powers of equal or same base raised to equal or same exponents , the result is exclusively equal to one (1), without the subtraction between the exponents. In this case the exponents should not be subtracted, because being equal among them, the quantity raised to the zero exponent is the remainder zero (0) and shows that the multiplications of the base by itself are equal between the power of the dividend and the power of the divisor, it shows that the quantities dividend and divisor are equal between them, but this is to be the remainder zero (0) and is different of to be the quotient one (1). The quantity raised to the zero exponent is not equal to the quotient one (1), that quantity raised to the zero exponent is the remainder zero (0) in the division of powers of equal or same bases raised to equal or same exponents.

“Any quantity, number or base raised to the zero exponent is exclusively equal to zero (0)”.

Thank you for my God Yahweh or Jahweh (Father, Son Jesus Christ, and Holy Spirit)