Simplify - -55- -5-10- 25- - 105

[{( 5)^5 nbsp;× ( 5)^ 10}÷ 2^5] × 10^5 =[{( 5)^(5 10)}÷ 2^5] × 10^5 =[( 5)^ 5 nbsp;× 2^ 5] × 10^5 =[( 1)^ 5 (5)^ 5× 2^ 5] × 10^5 =( 1)[(10)^ 5 nbsp;× ...

670

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Byju's Answer

Standard VII

Mathematics

Quotient Law

Simplify : [-...

Question

Simplify : $[{(- 5)^{5} \times (- 5)^{- 10}} \div 2^{5}] \times 10^{5}$

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Solution

$[{(- 5)^{5} \times (- 5)^{- 10}} \div 2^{5}] \times 10^{5}$

$= [{(- 5)^{(5 - 10)}} \div 2^{5}] \times 10^{5}$

$= [(- 5)^{- 5} \times 2^{- 5}] \times 10^{5}$

$= [(- 1)^{- 5} (5)^{- 5} \times 2^{- 5}] \times 10^{5}$

$= (- 1) [(10)^{- 5} \times 10^{5}]$

$= - 1$

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Simplify : [{(−5)5×(−5)−10}÷25]×105

[{(−5)5×(−5)−10}÷25]×105 =[{(−5)(5−10)}÷25]×105 =[(−5)−5×2−5]×105 =[(−1)−5(5)−5×2−5]×105 =(−1)[(10)−5×105] =−1

Simplify : $[{(- 5)^{5} \times (- 5)^{- 10}} \div 2^{5}] \times 10^{5}$

$[{(- 5)^{5} \times (- 5)^{- 10}} \div 2^{5}] \times 10^{5}$

$= [{(- 5)^{(5 - 10)}} \div 2^{5}] \times 10^{5}$

$= [(- 5)^{- 5} \times 2^{- 5}] \times 10^{5}$

$= [(- 1)^{- 5} (5)^{- 5} \times 2^{- 5}] \times 10^{5}$

$= (- 1) [(10)^{- 5} \times 10^{5}]$

$= - 1$