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stich3 [128]
3 years ago
14

Which expression is equivalent to (256x^16)1/4? A. 4x^2 B. 4x^4 C. 64x^2 D. 64x^4

Mathematics
2 answers:
vladimir1956 [14]3 years ago
8 0
Your answer is B

<span>(256x^16)^1/4
=</span><span>fourth root 256x^16
= 4 x^4</span>
Elodia [21]3 years ago
3 0

Answer with explanation:

We have to find  expression which is equivalent to

   =(256x^{16})^{\frac{1}{4}}\\\\=[(4*4*4*4)*(x^4)^4]^{\frac{1}{4}}\\\\=[4^4*(x^4)^4]^{\frac{1}{4}}\\\\=[(4x^4)^4]{\frac{1}{4}}\\\\=4x^4

Option B

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