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.

Step-by-step explanation:

Since we have given that

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

We need to simplify this :

Here we go:

We will apply :

$(a^m)^n=a^{mn}$

$(4h^7k^2)^4\\\\=4^4\times (h^7)^4\times (k^2)^4\\\\=256h^{28}k^8$

Hence, option 'D' is correct.