Question

What is the result of 4 - ³× (¼²​

Answer 1

Answer:

$4^{-5}$

Step-by-step explanation:

The given expression is :

$4^{-3}\times (\dfrac{1}{4})^2$

We know that, $x^{-a}=\dfrac{1}{x^a}$

So,

$4^{-3}\times (\dfrac{1}{4})^2=\dfrac{1}{4^3}\times (\dfrac{1}{4})^2\\\\=\dfrac{1}{4^3}\times \dfrac{1}{4^2}\\\\=\dfrac{1}{4^3\times 4^2}\\\\=\dfrac{1}{4^{3+2}}\\\\=\dfrac{1}{4^5}\\\\=4^{-5}$

So, the answer of the given expression is equal to $4^{-5}$.