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Popular >

simplify-27^{5/3}

Solution

simplify

- 2 7^{\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 simplify-27^{5/3} ?
The solution to simplify-27^{5/3} is -243