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Popular >

simplify 8^{4/3}

Solution

simplify

8^{\frac{4}{3}}

Solution

16

Solution steps

8^{\frac{4}{3}}

Factor the number:

8 = 2^{3}

= (2^{3})^{\frac{4}{3}}

Apply exponent rule:

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

= 2^{3 \cdot \frac{4}{3}}

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

= 2^{4}

2^{4} = 16

= 16

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Frequently Asked Questions (FAQ)

What is 8^{4/3} ?
The solution to 8^{4/3} is 16