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Popular >

simplify (64^{5/3})/(64^{4/3)}

Solution

simplify

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

Solution

4

Solution steps

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

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

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

Combine the fractions

\frac{5}{3} - \frac{4}{3} : \frac{1}{3}

= 6 4^{\frac{1}{3}}

Factor the number:

64 = 4^{3}

= (4^{3})^{\frac{1}{3}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

(4^{3})^{\frac{1}{3}} = 4^{3 \cdot \frac{1}{3}} = 4

= 4

Popular Examples

4 x^{2} + 4 x + 1 = 9

- 3 x^{2} - 6 x + 4 = 0

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\frac{1}{2}

simplify (30a^5\times a^3)/(12a)simplify

\frac{30 a ^{5} \times a ^{3}}{12 a}

Frequently Asked Questions (FAQ)

What is (64^{5/3})/(64^{4/3)} ?
The solution to (64^{5/3})/(64^{4/3)} is 4