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Popular >

simplify 128^{4/7}

Solution

simplify

12 8^{\frac{4}{7}}

Solution

16

Solution steps

12 8^{\frac{4}{7}}

Factor the number:

128 = 2^{7}

= (2^{7})^{\frac{4}{7}}

Apply exponent rule:

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

= 2^{7 \cdot \frac{4}{7}}

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

= 2^{4}

2^{4} = 16

= 16

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Frequently Asked Questions (FAQ)

What is 128^{4/7} ?
The solution to 128^{4/7} is 16