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Popular >

simplify (2m^2)(2m^4)

Solution

simplify

(2 m^{2}) (2 m^{4})

Solution

4 m^{6}

Solution steps

(2 m^{2}) (2 m^{4})

Apply exponent rule:

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

2 \cdot 2 = 2^{1 + 1}

= m^{2} \cdot 2^{1 + 1} m^{4}

Add the numbers:

1 + 1 = 2

= m^{2} \cdot 2^{2} m^{4}

Apply exponent rule:

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

m^{2} m^{4} = m^{2 + 4}

= 2^{2} m^{2 + 4}

Add the numbers:

2 + 4 = 6

= 2^{2} m^{6}

2^{2} = 4

= 4 m^{6}

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Frequently Asked Questions (FAQ)

What is (2m^2)(2m^4) ?
The solution to (2m^2)(2m^4) is 4m^6