(A) Given expression: $(625)^{-\frac{3}{4}}$We know that $625 = 5^4$.Substituting this into the expression: $(5^4)^{-\frac{3}{4}}$Using the exponent r

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(A) Given expression: $(625)^{-\frac{3}{4}}$We know that $625 = 5^4$.Substituting this into the expression: $(5^4)^{-\frac{3}{4}}$Using the exponent rule $(a^m)^n = a^{m \times n}$,we get: $5^{4 \times (-\frac{3}{4})}$$= 5^{-3}$$= \frac{1}{5^3}$$= \frac{1}{125}$

Class 9 Mathematics Number Systems Mix Examples - Number Systems

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Find the value of $(625)^{-\frac{3}{4}}$.

A
$1/125$
B
$1/25$
C
$125$
D
$25$

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Find the value of $(625)^{-\frac{3}{4}}$.

Similar Questions

The value of $1.999...$ in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0,$ is

Rationalise the denominator in each of the following:$\frac{1}{7-4 \sqrt{3}}$

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Rationalise the denominator in each of the following:
$\frac{1}{7-4 \sqrt{3}}$

Rationalise the denominator of the following:
$\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$

Insert a rational number and an irrational number between the following:
$3.623623$ and $0.484848$