If $a^{m}$ × $a^{n}$ = $a^{x}$ (where m and n are natural numbers), then the value of $x$ is _____.

m + n

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m - n

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$\frac{m}{n}$

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Solution

The correct option is A
m + n

According to laws of exponents,
$a^{m} \times a^{n} = a^{m + n}$

$Therefore, x = m + n$

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Similar questions

If $a^{m}$ × $a^{n}$ = $a^{x}$ , then the value of $x$ is _____. (where m and n are natural numbers)

If $a^{m}$ × $a^{n}$ = $a^{x}$ (where m and n are natural numbers), then the value of $x$ is _____.

If $m$ and $n$ are integers, $a$ is a non-zero integer and $a^{m}$ × $a^{n}$ = $a^{x}$ , then the value of $x$ is _____.

m, n,

(1 - y)^{m} (1 + y)^{n} =

1 + a_{1} y + a_{2} y^{2} + . . . + a_{m + n} y^{m + n}

a_{1} = a_{2} = 10,

(m + n)

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