Question

Explain how the Quotient of Powers 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

Answer 1

c

Explanation:

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.

Answer 2

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

Explanation:

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.