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Popular >

simplify 64^{5/3}

Solution

simplify

6 4^{\frac{5}{3}}

Solution

1024

Solution steps

6 4^{\frac{5}{3}}

Factor the number:

64 = 4^{3}

= (4^{3})^{\frac{5}{3}}

Apply exponent rule:

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

= 4^{3 \cdot \frac{5}{3}}

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

= 4^{5}

4^{5} = 1024

= 1024

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49 x^{2} + 140 x + 100 = 0

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- v + 5 + 6 v = 1 + 5 v + 3

Frequently Asked Questions (FAQ)

What is 64^{5/3} ?
The solution to 64^{5/3} is 1024