The correct option is B 60^ 8We know, for non zero integers 'a' and 'b' and any integer 'm', a^m× b^m =(a× b)^m Comparing the given expression 12^ 8× 5^ 8 wit ...

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Byju's Answer

Standard VII

Mathematics

a^m x b^m = (ab)^m

Simplify 12-8...

Question

Simplify $12^{- 8} \times 5^{- 8}$ .

60^{- 8}

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10^{- 8}

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60^{- 16}

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17^{- 8}

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Solution

The correct option is A $60^{- 8}$
We know, for non-zero integers 'a' and 'b' and any integer 'm',
$a^{m} \times b^{m} = (a \times b)^{m}$

Comparing the given expression $12^{- 8} \times 5^{- 8}$ with the LHS of the above mentioned equation, we have
a = 12, b = 5 and m = -8.

$∴ 12^{- 8} \times 5^{- 8}$ = $(12 \times 5)^{- 8} = 60^{- 8}$

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Simplify 12−8×5−8.

The correct option is A 60−8We know, for non-zero integers 'a' and 'b' and any integer 'm', am×bm=(a×b)m Comparing the given expression 12−8×5−8 with the LHS of the above mentioned equation, we have a = 12, b = 5 and m = -8. ∴12−8×5−8 = (12×5)−8=60−8

Simplify $12^{- 8} \times 5^{- 8}$ .