Question

Simplity (4^-2)^5
A.1/4^10
B. 4^3
C.1/4^3
D. 4^10

Answer 1

The answer is a 1/4^ 10.

Explanation:

Answer 2

`(4^(-2))^5=(1)/(4^(10))`

Explanation:

The given expression is :
`(4^(-2))^5`

We need to simplify the above expression.

We know that,
`x^(-a)=(1)/(x^a)`

or

`(4^(-2))^5=((1)/(4^2))^5\\\\=(1^5)/((4^2)^5)\\\\\because (x^b)^c=x^(b* c)\\\\=(1)/(4^(10))`

So, the simplified form of the given expression is
`(1)/(4^(10))`. Hence, the correct option is (A).