Given, (53 )^ 2×(53 )^ 14 Using law of exponents, a^m × a^n = (a)^m+n, (53 )^ 2×(53 )^ 14 nbsp; = (53 )^ 2 14 =(53 )^ 16 ...

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Product Law

Evaluate53 -2...

Question

Evaluate
${(53)}^{- 2} \times {(53)}^{- 14}$

{(- 53)}^{16}

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{(53)}^{- 16}

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{(53)}^{16}

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{(- 5 3)}^{- 16}

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Solution

The correct option is B ${(53)}^{- 16}$
$Given, {(53)}^{- 2} \times {(53)}^{- 14}$

Using law of exponents, $a^{m} \times a^{n} = (a)^{m + n}$ ,

${(53)}^{- 2} \times {(53)}^{- 14}$

$= {(53)}^{- 2 - 14}$

$= {(53)}^{- 16}$

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{(53)}^{- 2} \times {(53)}^{- 14}

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