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Popular >

simplify 3200(1/2)^{60/14}

Solution

simplify

3200 (\frac{1}{2})^{\frac{60}{14}}

Solution

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

+1

Decimal Notation

164.06707 \dots

Solution steps

3200 (\frac{1}{2})^{\frac{60}{14}}

Apply exponent rule:

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

(\frac{1}{2})^{\frac{60}{14}} = \frac{1 ^{\frac{60}{14}}}{2 ^{\frac{60}{14}}}

= 3200 \cdot \frac{1 ^{\frac{60}{14}}}{2 ^{\frac{60}{14}}}

1^{\frac{60}{14}} = 1

= 3200 \cdot \frac{1}{2 ^{\frac{60}{14}}}

2^{\frac{60}{14}} = 16 \cdot 2^{\frac{2}{7}}

= 3200 \cdot \frac{1}{16 \cdot 2 ^{\frac{2}{7}}}

3200 \cdot \frac{1}{16 \cdot 2 ^{\frac{2}{7}}} = 100 \cdot 2^{\frac{5}{7}}

= 100 \cdot 2^{\frac{5}{7}}

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Frequently Asked Questions (FAQ)

What is 3200(1/2)^{60/14} ?
The solution to 3200(1/2)^{60/14} is 100*2^{5/7}