Finding the exponential form8/27=2× 2× 2/3× 3× 32^3/3^3=(2/3)^3Hence, 8/27=(2/3)^3. ...

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Standard VII

Mathematics

a^m x b^m = (ab)^m

8/27=3

Question

$\frac{8}{27} = {(___)}^{3}$

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Solution

Finding the exponential form
$\frac{8}{27} = \frac{2 \times 2 \times 2}{3 \times 3 \times 3}$
$\frac{2^{3}}{3^{3}} = {(\frac{2}{3})}^{3}$
Hence, $\frac{8}{27} = {(\frac{2}{3})}^{3}$ .

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827=___3

Finding the exponential form827=2×2×23×3×32333=233Hence, 827=233.

$\frac{8}{27} = {(___)}^{3}$

Finding the exponential form
$\frac{8}{27} = \frac{2 \times 2 \times 2}{3 \times 3 \times 3}$
$\frac{2^{3}}{3^{3}} = {(\frac{2}{3})}^{3}$
Hence, $\frac{8}{27} = {(\frac{2}{3})}^{3}$ .