What is ((2/5)^3(2/5)^2)/((2/5)^4) ?

The solution to ((2/5)^3(2/5)^2)/((2/5)^4) is 2/5

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simplify ((2/5)^3(2/5)^2)/((2/5)^4)

simplify

\frac{( \frac{2}{5} ) ^{3} ( \frac{2}{5} ) ^{2}}{( \frac{2}{5} ) ^{4}}

\frac{2}{5}

Solution steps

\frac{( \frac{2}{5} ) ^{3} ( \frac{2}{5} ) ^{2}}{( \frac{2}{5} ) ^{4}}

\frac{( \frac{2}{5} ) ^{3}}{( \frac{2}{5} ) ^{4}} = \frac{1}{\frac{2}{5}}

= \frac{( \frac{2}{5} ) ^{2}}{\frac{2}{5}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= (\frac{2}{5})^{2 - 1}

Subtract the numbers:

2 - 1 = 1

= (\frac{2}{5})^{1}

Apply exponent rule:

a^{1} = a

= \frac{2}{5}

- (- 10)^{2}

0.698 = 0.0003 x - 0.0138

3 x^{2} + 8 x - 3 = 0

∣ x + 3 ∣ < 4

(\frac{8}{125})^{- \frac{2}{3}}

What is ((2/5)^3(2/5)^2)/((2/5)^4) ?
The solution to ((2/5)^3(2/5)^2)/((2/5)^4) is 2/5