Question

simplify5³ x (2/5)³​

Answer 1

Answer:

Simplify:

5³×(2/5)³ = 125×8/125 = 8.

Because, 125 will get cancelled as the denominator is also 125.

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Answer 2

$Given \: 5^{3} \times \Big( \frac{2}{5}\Big)^{3}$

$= \cancel {5^{3} }\times \frac{2^{3}}{\cancel {5^{3}}}$

/* By Exponential Law */

$\boxed {\pink { \Big( \frac{a}{b}\Big)^{n} = \frac{a^{n}}{b^{n}} }}$

$= 2^{3}$

$= 8$

Therefore .,

$\red{ 5^{3} \times \Big( \frac{2}{5}\Big)^{3}}\green { = 8 }$

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