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3 votes
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

2 Answers

2 votes

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

The answer is D.
User Farrukh Waheed
by
8.4k points
4 votes

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.


User Alex Lauerman
by
8.0k points
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