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Popular >

simplify (1/2 mn)(14m^5n^4)

Solution

simplify

(\frac{1}{2} mn) (14 m^{5} n^{4})

Solution

7 m^{6} n^{5}

Solution steps

(\frac{1}{2} mn) (14 m^{5} n^{4})

Apply exponent rule:

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

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

= \frac{1}{2} n \cdot 14 m^{1 + 5} n^{4}

Add the numbers:

1 + 5 = 6

= \frac{1}{2} n \cdot 14 m^{6} n^{4}

Apply exponent rule:

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

n n^{4} = n^{1 + 4}

= \frac{1}{2} \cdot 14 m^{6} n^{1 + 4}

Add the numbers:

1 + 4 = 5

= \frac{1}{2} \cdot 14 m^{6} n^{5}

Multiply fractions:

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

= \frac{1 \cdot 14 m ^{6} n ^{5}}{2}

Multiply the numbers:

1 \cdot 14 = 14

= \frac{14 m ^{6} n ^{5}}{2}

Divide the numbers:

\frac{14}{2} = 7

= 7 m^{6} n^{5}

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Frequently Asked Questions (FAQ)

What is (1/2 mn)(14m^5n^4) ?
The solution to (1/2 mn)(14m^5n^4) is 7m^6n^5