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4 votes
Which of the following represents sixth root of x to the fifth power in exponential form?

5x6
6x5
x to the 5 sixths power
x to the 6 fifths power

User Zxcv
by
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2 Answers

2 votes
x to the 5 sixth power
4 votes

Answer:


\sqrt[6]{x}=x^{(5)/(6)

Option 3 is correct.

Explanation:


\text{Given the expression in words which represents sixth root of x to the fifth power }

we have to write in exponential form.

Step 1: sixth root of x can be written as


\sqrt[6]{x}=x^{(1)/(6)

Step 2: Fifth power of sixth root of x


(x^{(1)/(6))^5


\text{As, }(x^m)^n=x^(mn)


(x^{(1)/(6)})^5=x^{{5* (1)/(6)}}=x^{(5)/(6)}

which implies x to the 5 sixths power.

Option 3 is correct.

User Blagerweij
by
7.3k points