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Popular >

simplify 27^{7/3}

Solution

simplify

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

Solution

2187

Solution steps

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

Factor the number:

27 = 3^{3}

= (3^{3})^{\frac{7}{3}}

Apply exponent rule:

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

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

3 \cdot \frac{7}{3} = 7

= 3^{7}

3^{7} = 2187

= 2187

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Frequently Asked Questions (FAQ)

What is 27^{7/3} ?
The solution to 27^{7/3} is 2187