## Explain how the Quotient of Powers property was used to simplify this expression. 2 to the fifth power, over 8 = 22

Question

Explain how the Quotient of Powers property was used to simplify this expression.

2 to the fifth power, over 8 = 22

By finding the quotient of the bases to be one fourth and cancelling common factors
By finding the quotient of the bases to be one fourth and simplifying the expression
By simplifying 8 to 23 to make both powers base two and subtracting the exponents
By simplifying 8 to 23 to make both powers base two and adding the exponents

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6 months 2021-07-17T12:05:51+00:00 1 Answers 85 views 0

1. We have been given the expression 2^5/8=2^2

8 can be rewritten as 2^3

Hence, the given expression becomes

2^5/2^3=2^2

After subtracting the exponents on left hand side of the equation we get:

2^2=2^2

we can do it by simplifying 8 to 2^3 to make both powers base two, and subtracting the exponents.