Simplify 25- 285- 2-5

The correct option is B 1/220 (2^5÷2^8)^5× 2^ 5 = (2^5/2^8)^5× 2^ 5 ∵a^m/a^n= (a)^m n ⇒(2^5 8)^5× 2^ 5 = (2^ 3)^5× 2^ 5 ∵ a^m× a^n= (a)^m+n ⇒ 2^ 15 5 = 2^ 20 = ...

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Byju's Answer

Standard VII

Mathematics

Power Law

Simplify 25÷ ...

Question

Simplify ${(2^{5} \div 2^{8})}^{5} \times 2^{- 5}$

1/2¹⁰

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1/2²⁰

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1/2^(-15)

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1/2^(-5)

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Solution

The correct option is B
1/2²⁰

${(2^{5} \div 2^{8})}^{5} \times 2^{- 5}$

$= {(\frac{2^{5}}{2^{8}})}^{5} \times 2^{- 5}$

$∵ \frac{a^{m}}{a^{n}} = (a)^{m - n}$

$\Rightarrow {(2^{5 - 8})}^{5} \times 2^{- 5}$

$= {(2^{- 3})}^{5} \times 2^{- 5}$

$∵ a^{m} \times a^{n} = (a)^{m + n}$

$\Rightarrow 2^{- 15 - 5}$

$= 2^{- 20}$

$= \frac{1}{2^{20}}$

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Similar questions

Simplify ${(2^{5} \div 2^{8})}^{5} \times 2^{- 5}$

Simplify ${(2^{5} \div 2^{8})}^{5}$ × $2^{- 5} .$

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\frac{25^{4} \times 5^{2}}{25^{5}}

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Simplify (25÷28)5×2−5

The correct option is B 1/220 (25÷28)5×2−5 =(2528)5×2−5 ∵aman= (a)m−n ⇒(25−8)5×2−5 =(2−3)5×2−5 ∵am×an= (a)m+n ⇒2−15−5 =2−20 =1220

Simplify ${(2^{5} \div 2^{8})}^{5} \times 2^{- 5}$