Question

Which expression is equivalent to (8^2)^ 4 ??

A. 1/8^2
B. -1/ 8•8•8•8•8•8•8•8
C. 1/8•8•8•8•8•8•8•8
D. 8^2

Answer 1

SThis is writetep-by-step explanation:

Answer 2

Option C
`(1)/(8*8*8*8*8*8*8*8)`

Explanation:

we have

`(8^(2))^(-4)`

Remember that

`(a)^(-b) = (1)/(a^(b))`

`(a^(b))^(c)=(a)^(b*c)`

therefore

`(8^(2))^(-4)=(8)^(-4*2)=(8)^(-8)`

`(8)^(-8) = (1)/(8^(8))`

`(1)/(8^(8))=(1)/(8*8*8*8*8*8*8*8)`