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Powers with Positive and Negative Exponents

If a^n+2 = a^...

Question

If $a^{n + 2}$ = $a^{2 n - 1}$ , the value of n is :

A

1

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B

2

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C

3

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D

0

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Solution

The correct option is C
3

Given that $a^{n + 2}$ = $a^{2 n - 1}$
Since bases are equal, exponents must also be equal.
$\Rightarrow n + 2 = 2 n - 1$
$\Rightarrow 2 + 1 = 2 n - n$
$\Rightarrow n = 3$

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