(B) Given expression: $(\frac{1}{27})^{\frac{-2}{3}}$First,express $27$ as a power of $3$: $27 = 3^3$.So,$\frac{1}{27} = \frac{1}{3^3} = 3^{-3}$.Now,s

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(B) Given expression: $(\frac{1}{27})^{\frac{-2}{3}}$First,express $27$ as a power of $3$: $27 = 3^3$.So,$\frac{1}{27} = \frac{1}{3^3} = 3^{-3}$.Now,substitute this into the expression:$(3^{-3})^{\frac{-2}{3}}$Using the power rule $(a^m)^n = a^{m \times n}$:$3^{-3 \times \frac{-2}{3}} = 3^2$Finally,calculate the value:$3^2 = 9$.

Class 9 Mathematics Number Systems Mix Examples - Number Systems

Medium

Simplify: $(\frac{1}{27})^{\frac{-2}{3}}$

A
$3$
B
$9$
C
$81$
D
$27$

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Class 9

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Number Systems

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Mix Examples - Number Systems

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

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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Convert the following rational number into decimal form and state the kind of its decimal expansion: $\frac{71}{125}$

Medium

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Visualise $2.365$ on the number line,using successive magnification.

Medium

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Every rational number is

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Simplify: $(\frac{1}{27})^{\frac{-2}{3}}$

Similar Questions

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

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

Convert the following rational number into decimal form and state the kind of its decimal expansion: $\frac{71}{125}$

Visualise $2.365$ on the number line,using successive magnification.

Every rational number is

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