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Popular >

simplify 4*6/(2^3)

Solution

simplify

4 \cdot \frac{6}{2 ^{3}}

Solution

3

Solution steps

4 \cdot \frac{6}{2 ^{3}}

Cancel

\frac{6}{2 ^{3}} : \frac{3}{4}

\frac{6}{2 ^{3}}

Factor the number:

6 = 2 \cdot 3

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

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

\frac{2}{2 ^{3}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

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

Subtract the numbers:

3 - 1 = 2

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

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

2^{2} = 4

= \frac{3}{4}

= 4 \cdot \frac{3}{4}

Convert element to fraction:

4 = \frac{4}{1}

= \frac{4}{1} \cdot \frac{3}{4}

Cross-cancel common factor:

4

= \frac{3}{1}

Divide the numbers:

\frac{3}{1} = 3

= 3

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17 \cdot 17

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\frac{25}{100}

Frequently Asked Questions (FAQ)

What is 4*6/(2^3) ?
The solution to 4*6/(2^3) is 3