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Popular >

simplify 128^{5/7}

Solution

simplify

12 8^{\frac{5}{7}}

Solution

32

Solution steps

12 8^{\frac{5}{7}}

Factor the number:

128 = 2^{7}

= (2^{7})^{\frac{5}{7}}

Apply exponent rule:

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

= 2^{7 \cdot \frac{5}{7}}

7 \cdot \frac{5}{7} = 5

= 2^{5}

2^{5} = 32

= 32

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Frequently Asked Questions (FAQ)

What is 128^{5/7} ?
The solution to 128^{5/7} is 32