The correct option is B 5^ 10The given expression is: 1/5^7×1/5^3 =1/5^7× 5^3 =1/5^7+3 =1/5^10 =5^ 10 (∵ a^ m=1/a^m) ...

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Exponents with Unlike Bases and Same Exponent

1/57×1/53=?

Question

$\frac{1}{5^{7}} \times \frac{1}{5^{3}} = ?$

5^{- 4}

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5^{- 10}

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\frac{1}{5^{- 10}}

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\frac{1}{5^{- 4}}

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Solution

The correct option is B $5^{- 10}$
The given expression is:
$\frac{1}{5^{7}} \times \frac{1}{5^{3}} = \frac{1}{5^{7} \times 5^{3}} = \frac{1}{5^{7 + 3}} = \frac{1}{5^{10}} = 5^{- 10}$
$(∵ a^{- m} = \frac{1}{a^{m}})$

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Similar questions

- 13 + (- 69) + 57 - (- 89) - (53 + (- 49))

- 13 + (- 69) + 57 - (- 89) - (53 + (- 49))

57 \times 53

-13+(-69)+57-(-89)-(53+(-49))

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