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 27 is equal to 3^15.

⭐ Answered by Hyperrspace (Ace) ⭐

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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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$\text{Let the number of boys be x and number of girls be y.}\\
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\text{and there are total 416 students enrolled in the course. so we have}\\
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x+y=416 \ \ \ \ \ \ \ \ \ \ ......(i)\\
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\text{also given that there are seven boys to every six girls, that is}\\
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$\Rightarrow 6x=7y\\
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\Rightarrow y=\frac{6x}{7}\\
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