Question

What is the result of 4 - ³× (¼²​

Answer 1

`4^(-5)`

Explanation:

The given expression is :

`4^(-3)* ((1)/(4))^2`

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

So,

`4^(-3)* ((1)/(4))^2=(1)/(4^3)* ((1)/(4))^2\\\\=(1)/(4^3)* (1)/(4^2)\\\\=(1)/(4^3* 4^2)\\\\=(1)/(4^(3+2))\\\\=(1)/(4^5)\\\\=4^(-5)`

So, the answer of the given expression is equal to
`4^(-5)`.