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3 years ago

The 5th power of what number is equal to 3^15?

Mathematics

2 answers:

jarptica [38.1K]3 years ago

6 0

3^15 = 14,348,907

Which means...

x^5 = 14,348,907

If we execute $\sqrt[5]{14348907}$ and do the same with x^5 we get...

x = 27

So the 5th power of <u>27</u> is equal to 3^15.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

CaHeK987 [17]3 years ago

3 0

Step-by-step explanation:

Let the required number be x.

According to the given condition:

${x}^{5} = {3}^{15} \\ \\ \implies \: x = {3}^{15 \times \frac{1}{5} } \\ \\ \implies \: x = {3}^{3 } \\ \\ \implies \: x = 27 \\ \\ \: thus \: the \: required \: number \: is \: 27$

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