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Popular >

simplify (27)^{4/3}

Solution

simplify

(27)^{\frac{4}{3}}

Solution

81

Solution steps

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

Factor the number:

27 = 3^{3}

= (3^{3})^{\frac{4}{3}}

Apply exponent rule:

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

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

3 \cdot \frac{4}{3} = 4

= 3^{4}

3^{4} = 81

= 81

Popular Examples

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x + 18 = 27

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3(x+2)^2-47=-44

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Frequently Asked Questions (FAQ)

What is (27)^{4/3} ?
The solution to (27)^{4/3} is 81