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Power of a Power

Express 6561 ...

Question

Express 6561 as a power of a prime number.

A

36

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B

94

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C

39

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D

38

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Solution

The correct option is D 38
6561 = $3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3$

So, 6561 = $3^{8}$

Hence option ‘d’ is correct.

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