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Popular >

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

Solution

simplify

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

Solution

\frac{4}{9}

+1

Decimal Notation

0.44444 \dots

Solution steps

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

Apply exponent rule:

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

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

Subtract the numbers:

5 - 3 = 2

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

Apply exponent rule:

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

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

2^{2} = 4

= \frac{4}{3 ^{2}}

3^{2} = 9

= \frac{4}{9}

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Frequently Asked Questions (FAQ)

What is ((2/3)^5)/((2/3)^3) ?
The solution to ((2/3)^5)/((2/3)^3) is 4/9