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Popular >

simplify 64^{7/3}

Solution

simplify

6 4^{\frac{7}{3}}

Solution

16384

Solution steps

6 4^{\frac{7}{3}}

Factor the number:

64 = 4^{3}

= (4^{3})^{\frac{7}{3}}

Apply exponent rule:

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

= 4^{3 \cdot \frac{7}{3}}

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

= 4^{7}

4^{7} = 16384

= 16384

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Frequently Asked Questions (FAQ)

What is 64^{7/3} ?
The solution to 64^{7/3} is 16384