Given: nbsp;5^3 × 5^ 8/5^ 5 nbsp; We know that, a^m × a^n = a^m+n. ⇒5^3 × 5^ 8/5^ 5 = 5^3+( 8)/5^ 5= 5^ 5/5^ 5 = 1 ...

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Exponents with like Bases

53 × 5-8/5-5 ...

Question

$\frac{5^{3} \times 5^{- 8}}{5^{- 5}}$ = ?

- 1

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Solution

The correct option is C $1$
Given: $\frac{5^{3} \times 5^{- 8}}{5^{- 5}}$

We know that, $a^{m} \times a^{n} = a^{m + n}$ .

$\Rightarrow \frac{5^{3} \times 5^{- 8}}{5^{- 5}} = \frac{5^{3 + (- 8)}}{5^{- 5}} = \frac{5^{- 5}}{5^{- 5}} = 1$

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