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Popular >

simplify (28m^2) 1/4 m^5

Solution

simplify

(28 m^{2}) \frac{1}{4} m^{5}

Solution

7 m^{7}

Solution steps

(28 m^{2}) \frac{1}{4} m^{5}

Apply exponent rule:

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

m^{2} m^{5} = m^{2 + 5}

= 28 \cdot \frac{1}{4} m^{2 + 5}

Add the numbers:

2 + 5 = 7

= 28 \cdot \frac{1}{4} m^{7}

Multiply fractions:

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

= \frac{1 \cdot 28 m ^{7}}{4}

Multiply the numbers:

1 \cdot 28 = 28

= \frac{28 m ^{7}}{4}

Divide the numbers:

\frac{28}{4} = 7

= 7 m^{7}

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Frequently Asked Questions (FAQ)

What is (28m^2) 1/4 m^5 ?
The solution to (28m^2) 1/4 m^5 is 7m^7