2 years ago

Find the value of x.

Mathematics

1 answer:

LuckyWell [14K]2 years ago

7 0

The correct answer is 23

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Which is equivalent to RootIndex 5 StartRoot 1,215 EndRoot Superscript x?

SOVA2 [1]

Answer:

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Step-by-step explanation:

Given:

The expression to simplify is given as:

$(\sqrt[5]{1215})^x$

We know that,

$\sqrt[n]{a} = a^{\frac{1}{n}}$

Here, $n=5, a=1215$

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So, the above expression becomes:

$(\sqrt[5]{1215})^x = (1215^{\frac{1}{5}})^x$

Now, using the law of indices $(a^m)^n=a^{(m\times n)}$

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So, the expression is finally simplified to;

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Therefore, the second option is the correct one.

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