Question

Which expression is equivalent to (4h^7k^2)^4?

A: 16h^11k^6
B: 16h^28k^8
C; 256h^11k^6
D: 256h^28k^8

Answer 1

`(4h^7k^2)^4 = 4^4 * h^(7*4) * k^(2*4) = 256* h^(28)* k^(8)`

The answer is D.

Answer 2

Answer: Option 'D' is correct.

Explanation:

Since we have given that

`(4h^7k^2)^4`

We need to simplify this :

Here we go:

We will apply :

`(a^m)^n=a^(mn)`

`(4h^7k^2)^4\\\\=4^4* (h^7)^4* (k^2)^4\\\\=256h^(28)k^8`

Hence, option 'D' is correct.