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Popular >

simplify (1/2 mn)(8m^5n^3)

Solution

simplify

(\frac{1}{2} mn) (8 m^{5} n^{3})

Solution

4 m^{6} n^{4}

Solution steps

(\frac{1}{2} mn) (8 m^{5} n^{3})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

m m^{5} = m^{1 + 5}

= \frac{1}{2} n \cdot 8 m^{1 + 5} n^{3}

Add the numbers:

1 + 5 = 6

= \frac{1}{2} n \cdot 8 m^{6} n^{3}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

n n^{3} = n^{1 + 3}

= \frac{1}{2} \cdot 8 m^{6} n^{1 + 3}

Add the numbers:

1 + 3 = 4

= \frac{1}{2} \cdot 8 m^{6} n^{4}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 8 m ^{6} n ^{4}}{2}

Multiply the numbers:

1 \cdot 8 = 8

= \frac{8 m ^{6} n ^{4}}{2}

Divide the numbers:

\frac{8}{2} = 4

= 4 m^{6} n^{4}

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Frequently Asked Questions (FAQ)

What is (1/2 mn)(8m^5n^3) ?
The solution to (1/2 mn)(8m^5n^3) is 4m^6n^4