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Popular >

simplify (5m^3)^2*4m^4

Solution

simplify

(5 m^{3})^{2} \cdot 4 m^{4}

Solution

100 m^{10}

Solution steps

(5 m^{3})^{2} \cdot 4 m^{4}

Simplify

(5 m^{3})^{2} : 25 m^{6}

= 25 m^{6} \cdot 4 m^{4}

Multiply the numbers:

25 \cdot 4 = 100

= 100 m^{6} m^{4}

Apply exponent rule:

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

m^{6} m^{4} = m^{6 + 4}

= 100 m^{6 + 4}

Add the numbers:

6 + 4 = 10

= 100 m^{10}

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Frequently Asked Questions (FAQ)

What is (5m^3)^2*4m^4 ?
The solution to (5m^3)^2*4m^4 is 100m^{10}