Question

Which of the following correctly simplifies the expression 2 to the power of 2 multiplied by 6 to the power of 0 whole over 7, the whole cubed.? 2 to the power of 2 multiplied by 1 whole over 7, the whole cubed. = 2 to the power of 5 multiplied by 1 cubed over 7 cubed. = 32 over 343. 2 to the power of 2 multiplied by 0 whole over 7, the whole cubed. = 2 to the power of 6 multiplied by 0 over 7 cubed. = 0 2 to the power of 2 multiplied by 1 whole over 7, the whole cubed. = 2 to the power of 6 multiplied by 1 cubed over 7 cubed. = 64 over 343. 2 to the power of 2 multiplied by 0 whole over 7, the whole cubed. = 2 to the power of 5 multiplied by 0 over 7 cubed. = 0

Answer 1

((2^2 * 6^0) / 7)^3 =
(2^6 * 1^3) / 7^3 =
(64 * 1) / 343 =
64/343

Answer 2

`(64)/(343)`

Explanation:

`((2^2*6^0)/(7) )^3`

To simplify this , we multiply the outer exponent 3 with inner exponents

`(2^(2*3)*6^(0*3))/(7^3)`

`(2^6*6^0)/(7^3)`

The value of 6^0 =1

`(2^6*1)/(7^3)`

The value of 2^6 = 2*2*2*2*2*2 = 64

7^ 3 = 7*7*7 = 343

`(64)/(343)`