-2-57-2-55 is equal to

The correct option is D 4/25 Given,( 2/5) ^7 ÷ ( 2/5)^5 =( 2/5)^7/( 2/5)^5 ∵a^m/a^n = (a)^m n ⇒ ( 2/5)^7 5 =( 2/5)^2 =( 2)^2/(5)^2 (∵ (a/b)^n = a^n/b^ ...

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Byju's Answer

Standard VII

Mathematics

Quotient Law of Exponent

-2/57÷-2/55 i...

Question

${(\frac{- 2}{5})}^{7} \div {(\frac{- 2}{5})}^{5}$ is equal to

$\frac{4}{25}$

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$\frac{- 4}{25}$

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${(\frac{- 2}{5})}^{12}$

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$\frac{25}{4}$

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Solution

The correct option is A
$\frac{4}{25}$

Given, $(\frac{- 2}{5})^{7} \div (\frac{- 2}{5})^{5}$

= $\frac{(\frac{- 2}{5})^{7}}{(\frac{- 2}{5})^{5}}$

$∵ \frac{a^{m}}{a^{n}} = (a)^{m - n}$

$\Rightarrow (\frac{- 2}{5})^{7 - 5}$

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

= $\frac{(- 2)^{2}}{(5)^{2}}$ $(∵ (\frac{a}{b})^{n} = \frac{a^{n}}{b^{n}})$

= $\frac{4}{25}$

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Similar questions

The value of $55^{2} - 54^{2}$ is equal to

Q. Find the median class of the following distribution.

Weight (in $k g$ )	Number of students
$45 - 47$	$7$
$47 - 49$	$5$
$49 - 51$	$8$
$51 - 53$	$12$
$53 - 55$	$10$
$55 - 57$	$2$
$57 - 59$	$1$

$[5 \frac{1}{4} - \frac{2}{5} \times 5 \frac{5}{9} + (\frac{1}{2} + \frac{3}{4})]$ is equal to:

\sqrt[2010]{2 \sqrt{7} - 3 \sqrt{3}} \times \sqrt[4020]{55 + 12 \sqrt{21}}

is equal to

57, 54, 58, 55, 59, 56, 60. ?

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(−25)7÷(−25)5 is equal to

The correct option is A 425 Given,(−25)7 ÷ (−25)5 =(−25)7(−25)5 ∵aman = (a)m−n ⇒(−25)7−5 =(−25)2 =(−2)2(5)2 (∵(ab)n = anbn) =425

${(\frac{- 2}{5})}^{7} \div {(\frac{- 2}{5})}^{5}$ is equal to