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Popular >

simplify 64^{7/12}

Solution

simplify

6 4^{\frac{7}{12}}

Solution

8 \cdot 2^{\frac{1}{2}}

+1

Solution steps

6 4^{\frac{7}{12}}

Factor the number:

64 = 2^{6}

= (2^{6})^{\frac{7}{12}}

Apply exponent rule:

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

= 2^{6 \cdot \frac{7}{12}}

6 \cdot \frac{7}{12} = \frac{7}{2}

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

2^{\frac{7}{2}} = 2^{3 + \frac{1}{2}}

= 2^{3 + \frac{1}{2}}

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

= 2^{3} \cdot 2^{\frac{1}{2}}

2^{3} = 8

= 8 \cdot 2^{\frac{1}{2}}

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(x-14)/4 >= (x-7)/6+1/12

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factor 144x^2-49y^2 factor

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Frequently Asked Questions (FAQ)

What is 64^{7/12} ?
The solution to 64^{7/12} is 8*2^{1/2}