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Popular >

simplify (27)^{5/3}

Solution

simplify

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

Solution

243

Solution steps

2 7^{\frac{5}{3}}

Factor the number:

27 = 3^{3}

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

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{3 \cdot \frac{5}{3}}

3 \cdot \frac{5}{3} = 5

= 3^{5}

3^{5} = 243

= 243

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Frequently Asked Questions (FAQ)

What is (27)^{5/3} ?
The solution to (27)^{5/3} is 243