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Mathematics

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emmasim [6.3K]3 years ago

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Answer:

well you see there is a high possibility that it is your mums shopping list.

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

antiseptic1488 [7]

Given expression: $(256x^{16})^{1/4}$ .

$\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n$

$=256^{\frac{1}{4}}\left(x^{16}\right)^{\frac{1}{4}}$

$256=4^4$

$256^{\frac{1}{4}}=\left(4^4\right)^{\frac{1}{4}}=4$

$\left(x^{16}\right)^{\frac{1}{4}}=x^{16\cdot \frac{1}{4}}=x^4$

$(256x^{16})^{1/4} =4x^4$

<h3>Therefore, correct option is B option : B.4x^4</h3>

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All of the following expressions are equivalent except _____.

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The answer is A. This is because in A, you are subtracting 2 from X, instead of X from 2.

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