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Popular >

simplify (2m^2n^4)(3m^2n^2)

Solution

simplify

(2 m^{2} n^{4}) (3 m^{2} n^{2})

Solution

6 m^{4} n^{6}

Solution steps

(2 m^{2} n^{4}) (3 m^{2} n^{2})

Apply exponent rule:

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

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

= 2 n^{4} \cdot 3 m^{2 + 2} n^{2}

Add the numbers:

2 + 2 = 4

= 2 n^{4} \cdot 3 m^{4} n^{2}

Apply exponent rule:

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

n^{4} n^{2} = n^{4 + 2}

= 2 \cdot 3 m^{4} n^{4 + 2}

Add the numbers:

4 + 2 = 6

= 2 \cdot 3 m^{4} n^{6}

Multiply the numbers:

2 \cdot 3 = 6

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

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Frequently Asked Questions (FAQ)

What is (2m^2n^4)(3m^2n^2) ?
The solution to (2m^2n^4)(3m^2n^2) is 6m^4n^6