(D) To simplify the expression $3^{\frac{2}{3}} \cdot 3^{\frac{4}{3}}$,we use the law of exponents: $a^m \cdot a^n = a^{m+n}$.Applying this rule,we ge

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(D) To simplify the expression $3^{\frac{2}{3}} \cdot 3^{\frac{4}{3}}$,we use the law of exponents: $a^m \cdot a^n = a^{m+n}$.Applying this rule,we get:$3^{\frac{2}{3}} \cdot 3^{\frac{4}{3}} = 3^{\frac{2}{3} + \frac{4}{3}}$$= 3^{\frac{2+4}{3}}$$= 3^{\frac{6}{3}}$$= 3^2$$= 9$

Class 9 Mathematics Number Systems Mix Examples - Number Systems

Easy

Simplify $3^{\frac{2}{3}} \cdot 3^{\frac{4}{3}}$.

A
$13$
B
$3$
C
$7$
D
$9$

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Mix Examples - Number Systems

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Simplify $3^{\frac{2}{3}} \cdot 3^{\frac{4}{3}}$.

Similar Questions

Fill in the blanks to make the following statement true: $\sqrt{49} = \ldots \ldots$

If $(\frac{2}{5})^{5} \times (\frac{25}{4})^{3} = (\frac{5}{2})^{3x-2}$,then find $x$.

Insert a rational number and an irrational number between the following:$0$ and $0.1$

Simplify: $\left(1^{3}+2^{3}+3^{3}\right)^{\frac{1}{2}}$

Represent the number $\sqrt{5.6}$ geometrically on the number line.

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Insert a rational number and an irrational number between the following:
$0$ and $0.1$