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Popular >

simplify (27^2)/(27^{4/3)}

Solution

simplify

\frac{2 7 ^{2}}{2 7 ^{\frac{4}{3}}}

Solution

9

Solution steps

\frac{2 7 ^{2}}{2 7 ^{\frac{4}{3}}}

Apply exponent rule:

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

= 2 7^{2 - \frac{4}{3}}

Join

2 - \frac{4}{3} : \frac{2}{3}

= 2 7^{\frac{2}{3}}

Factor the number:

27 = 3^{3}

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

Apply exponent rule:

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

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

= 3^{2}

Refine

= 9

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Frequently Asked Questions (FAQ)

What is (27^2)/(27^{4/3)} ?
The solution to (27^2)/(27^{4/3)} is 9