Mathematics, 08.07.2019 19:10 lil8174
Which of the following is the simplified form of fifth root of x times the fifth root of x times the fifth root of x times the fifth root of x?
x to the 1 over fifth power
x to the 4 over fifth power
x to the four over twentieth power
x
Answers: 1
![\sqrt[n]{a}=a^\frac{1}{n}\Rightarrow\sqrt[5]{x}=x^\frac{1}{5}\\\\\sqrt[5]{x}\cdot\sqrt[5]{x}\cdot\sqrt[5]{x}\cdot\sqrt[5]{x}=x^\frac{1}{5}\cdot x^\frac{1}{5}\cdot x^\frac{1}{5}\cdot x^\frac{1}{5}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}}=x^\frac{4}{5}](/tpl/images/0066/6424/9b4cd.png)
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Which of the following is the simplified form of fifth root of x times the fifth root of x times the...
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