(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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Mix Examples - Number Systems

State whether the following statement is true or false:
$(-5)^{2} = -25$

Easy

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Simplify $\left(4^{\frac{1}{5}}\right)^{3}$.

Easy

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If $a = \frac{3+\sqrt{5}}{2}$,then find the value of $a^{2} + \frac{1}{a^{2}}$.

Difficult

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For each question,select the proper option from four options given,to make the statement true: $\sqrt{5^{2}+12^{2}}$ is a / an $\ldots \ldots$ number.

Easy

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If $a = 5 + 2\sqrt{6}$ and $b = \frac{1}{a}$,then what will be the value of $a^2 + b^2$?

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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

State whether the following statement is true or false:$(-5)^{2} = -25$

Simplify $\left(4^{\frac{1}{5}}\right)^{3}$.

If $a = \frac{3+\sqrt{5}}{2}$,then find the value of $a^{2} + \frac{1}{a^{2}}$.

For each question,select the proper option from four options given,to make the statement true: $\sqrt{5^{2}+12^{2}}$ is a / an $\ldots \ldots$ number.

If $a = 5 + 2\sqrt{6}$ and $b = \frac{1}{a}$,then what will be the value of $a^2 + b^2$?

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State whether the following statement is true or false:
$(-5)^{2} = -25$