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Power of a Power

Question 58In...

Question

Question 58

In the following question, fill in the blanks to make the statements true.

On dividing $8^{5}$ by ___ we get 8.

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Solution

Let $8^{5}$ be divided by x to get 8.
So, $8^{5} \div x = 8 \Rightarrow 8^{5} \times \frac{1}{x} = 8 \Rightarrow \frac{8^{5}}{8} = x ∴ x = \frac{8^{5}}{8^{1}} = 8^{5 - 1} = 8^{4}$

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Standard VIII Mathematics

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