(A) Given expression: $(343)^{-\frac{2}{3}}$We know that $343 = 7^3$.Substituting this into the expression: $(7^3)^{-\frac{2}{3}}$Using the power rule

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(A) Given expression: $(343)^{-\frac{2}{3}}$We know that $343 = 7^3$.Substituting this into the expression: $(7^3)^{-\frac{2}{3}}$Using the power rule $(a^m)^n = a^{m \times n}$,we get: $7^{3 \times (-\frac{2}{3})}$$= 7^{-2}$$= \frac{1}{7^2}$$= \frac{1}{49}$

Class 9 Mathematics Number Systems Mix Examples - Number Systems

Easy

Find the value of $(343)^{-\frac{2}{3}}$.

A
$1/49$
B
$1/7$
C
$49$
D
$7$

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Mix Examples - Number Systems

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State whether the following statement is true or false:
Every whole number is a rational number.

Easy

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Insert a rational number and an irrational number between the following:
$\frac{-2}{5}$ and $\frac{1}{2}$

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If $\sqrt{2}=1.414$ and $\sqrt{3}=1.732,$ find the value of $\frac{4}{3\sqrt{3}-2\sqrt{2}}+\frac{3}{3\sqrt{3}+2\sqrt{2}}.$

Medium

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Subtract: $0.\overline{52} - 0.4\overline{6}$

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Find the value of $(343)^{-\frac{2}{3}}$.

Similar Questions

Simplify: $\frac{7 \sqrt{3}}{\sqrt{10}+\sqrt{3}}-\frac{2 \sqrt{5}}{\sqrt{6}+\sqrt{5}}-\frac{3 \sqrt{2}}{\sqrt{15}+3 \sqrt{2}}$

State whether the following statement is true or false:Every whole number is a rational number.

Insert a rational number and an irrational number between the following:$\frac{-2}{5}$ and $\frac{1}{2}$

If $\sqrt{2}=1.414$ and $\sqrt{3}=1.732,$ find the value of $\frac{4}{3\sqrt{3}-2\sqrt{2}}+\frac{3}{3\sqrt{3}+2\sqrt{2}}.$

Subtract: $0.\overline{52} - 0.4\overline{6}$

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State whether the following statement is true or false:
Every whole number is a rational number.

Insert a rational number and an irrational number between the following:
$\frac{-2}{5}$ and $\frac{1}{2}$