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Popular >

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

Solution

simplify

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

Solution

\frac{100}{81}

+1

Decimal Notation

1.23456 \dots

Solution steps

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

(\frac{5}{3})^{2} = \frac{25}{9}

= \frac{25}{9} (\frac{2}{3})^{2}

Apply exponent rule:

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

(\frac{2}{3})^{2} = \frac{2 ^{2}}{3 ^{2}}

= \frac{25}{9} \cdot \frac{2 ^{2}}{3 ^{2}}

2^{2} = 4

= \frac{25}{9} \cdot \frac{4}{3 ^{2}}

3^{2} = 9

= \frac{25}{9} \cdot \frac{4}{9}

\frac{25}{9} \cdot \frac{4}{9} = \frac{100}{81}

= \frac{100}{81}

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Frequently Asked Questions (FAQ)

What is (5/3)^2*(2/3)^2 ?
The solution to (5/3)^2*(2/3)^2 is 100/81