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Popular >

simplify 1000(1/2)^{60/5}

Solution

simplify

1000 (\frac{1}{2})^{\frac{60}{5}}

Solution

\frac{125}{512}

+1

Solution steps

1000 (\frac{1}{2})^{\frac{60}{5}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{2})^{\frac{60}{5}} = \frac{1 ^{\frac{60}{5}}}{2 ^{\frac{60}{5}}}

= 1000 \cdot \frac{1 ^{\frac{60}{5}}}{2 ^{\frac{60}{5}}}

1^{\frac{60}{5}} = 1

= 1000 \cdot \frac{1}{2 ^{\frac{60}{5}}}

2^{\frac{60}{5}} = 4096

= 1000 \cdot \frac{1}{4096}

1000 \cdot \frac{1}{4096} = \frac{125}{512}

= \frac{125}{512}

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Frequently Asked Questions (FAQ)

What is 1000(1/2)^{60/5} ?
The solution to 1000(1/2)^{60/5} is 125/512