(C) Using the law of exponents $(a^m)^n = a^{m \times n}$,we have:$(5^{\frac{3}{4}})^{\frac{4}{3}} = 5^{\frac{3}{4} \times \frac{4}{3}}$$= 5^{\frac{12

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(C) Using the law of exponents $(a^m)^n = a^{m \times n}$,we have:$(5^{\frac{3}{4}})^{\frac{4}{3}} = 5^{\frac{3}{4} \times \frac{4}{3}}$$= 5^{\frac{12}{12}}$$= 5^1$$= 5$

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: $(5^{\frac{3}{4}})^{\frac{4}{3}} = \dots$

A
$5^{\frac{9}{4}}$
B
$5^{\frac{4}{9}}$
C
$5$
D
$5^{\frac{9}{16}}$

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Class 9

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Number Systems

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Mix Examples - Number Systems

Divide $12 \sqrt{30}$ by $3 \sqrt{5}$.

Easy

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State whether the following statement is true or false:
$\sqrt{49}$ is an irrational number.

Easy

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

Easy

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Write the following in decimal form and state what kind of decimal expansion each has:
$\frac{2}{11}$

Medium

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Express $0.\overline{4}$ in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$.

Medium

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For each question,select the proper option from four options given,to make the statement true: $(5^{\frac{3}{4}})^{\frac{4}{3}} = \dots$

Similar Questions

Divide $12 \sqrt{30}$ by $3 \sqrt{5}$.

State whether the following statement is true or false:$\sqrt{49}$ is an irrational number.

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

Write the following in decimal form and state what kind of decimal expansion each has:$\frac{2}{11}$

Express $0.\overline{4}$ in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$.

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State whether the following statement is true or false:
$\sqrt{49}$ is an irrational number.

Write the following in decimal form and state what kind of decimal expansion each has:
$\frac{2}{11}$