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Popular >

simplify (2/5)^2*25

Solution

simplify

(\frac{2}{5})^{2} \cdot 25

Solution

4

Solution steps

(\frac{2}{5})^{2} \cdot 25

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

= \frac{2 ^{2}}{5 ^{2}} \cdot 25

2^{2} = 4

= \frac{4}{5 ^{2}} \cdot 25

5^{2} = 25

= \frac{4}{25} \cdot 25

Convert element to fraction:

25 = \frac{25}{1}

= \frac{4}{25} \cdot \frac{25}{1}

Cross-cancel common factor:

25

= \frac{4}{1}

Divide the numbers:

\frac{4}{1} = 4

= 4

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Frequently Asked Questions (FAQ)

What is (2/5)^2*25 ?
The solution to (2/5)^2*25 is 4