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Popular >

simplify 64^{7/6}

Solution

simplify

6 4^{\frac{7}{6}}

Solution

128

Solution steps

6 4^{\frac{7}{6}}

Factor the number:

64 = 2^{6}

= (2^{6})^{\frac{7}{6}}

Apply exponent rule:

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

= 2^{6 \cdot \frac{7}{6}}

6 \cdot \frac{7}{6} = 7

= 2^{7}

2^{7} = 128

= 128

Popular Examples

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x + 3 = - x + 1

(8z+4)(5z+10)=0

(8 z + 4) (5 z + 10) = 0

Frequently Asked Questions (FAQ)

What is 64^{7/6} ?
The solution to 64^{7/6} is 128