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andrey2020 [161]
2 years ago
6

What is the simplified form of the seventh root of x to the fifth power times the seventh root of x to the fifth power? the squa

re root of x x to the four ninth power x x times the seventh root of x cubed?
Mathematics
2 answers:
shtirl [24]2 years ago
5 0

Answer:

x times the seventh root of x cubed.

Step-by-step explanation:

We know that x^m * x^n = x^( m + n ).

And the seventh root of x to the fifth power is:  \sqrt[7]{ x^{5} }  

Therefore:

\sqrt[7]{ x^{5} } *  \sqrt[7]{ x^{5} } = \\ = \sqrt[7]{ x^{5} * x^{5} }= \\ = \sqrt[7]{ x^{10} }= \sqrt[7]{ x^{7} }* \sqrt[7]{ x^{3} }=x* \sqrt[7]{ x^{3} }      

Svetlanka [38]2 years ago
4 0
We know that x^m * x^n = x^( m + n ).
And the seventh root of x to the fifth power is: \sqrt[7]{ x^{5} }
Therefore:
\sqrt[7]{ x^{5} } *  \sqrt[7]{ x^{5} } = \\ = \sqrt[7]{ x^{5} * x^{5} }= \\ = \sqrt[7]{ x^{10} }= \sqrt[7]{ x^{7} }* \sqrt[7]{ x^{3} }=x* \sqrt[7]{ x^{3} }
Answer: D ) x times the seventh root of x cubed.

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