(A) Using the law of exponents,$(a^{m})^{n} = a^{m \times n}$.Applying this to the given expression: $(5^{-2})^{3} = 5^{-2 \times 3} = 5^{-6}$.Since $

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(A) Using the law of exponents,$(a^{m})^{n} = a^{m \times n}$.Applying this to the given expression: $(5^{-2})^{3} = 5^{-2 \times 3} = 5^{-6}$.Since $a^{-n} = \frac{1}{a^{n}}$,we have $5^{-6} = \frac{1}{5^{6}}$.Therefore,the correct option is $A$.

Class 9 Mathematics Number Systems Mix Examples - Number Systems

Easy

For each question,select the proper option from four options given,to make the statement true: $(5^{-2})^{3} = \ldots \ldots \ldots$

A
$\frac{1}{5^{6}}$
B
$5^{1}$
C
$5^{5}$
D
$5^{6}$

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Class 9 Questions

Class 9

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Number Systems

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Mix Examples - Number Systems

Rationalise the denominator of the following expression:
$\frac{4}{\sqrt{10}+\sqrt{6}}$

Easy

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Insert a rational number and an irrational number between the following:
$2.357$ and $3.121$

Difficult

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Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0 .$
$0 . \overline{35}$

Medium

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Fill in the blanks to make the following statement true: The decimal expansion of $\frac{47}{50}$ is of $\ldots \ldots \ldots$ type.

Easy

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Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.404040 \ldots$

Medium

View Solution

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For each question,select the proper option from four options given,to make the statement true: $(5^{-2})^{3} = \ldots \ldots \ldots$

Similar Questions

Rationalise the denominator of the following expression:$\frac{4}{\sqrt{10}+\sqrt{6}}$

Insert a rational number and an irrational number between the following:$2.357$ and $3.121$

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0 .$$0 . \overline{35}$

Fill in the blanks to make the following statement true: The decimal expansion of $\frac{47}{50}$ is of $\ldots \ldots \ldots$ type.

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :$0.404040 \ldots$

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Rationalise the denominator of the following expression:
$\frac{4}{\sqrt{10}+\sqrt{6}}$

Insert a rational number and an irrational number between the following:
$2.357$ and $3.121$

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0 .$
$0 . \overline{35}$

Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :
$0.404040 \ldots$