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Popular >

simplify (7nm^3)(3n^2m^2)

Solution

simplify

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

Solution

21 n^{3} m^{5}

Solution steps

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

Apply exponent rule:

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

n n^{2} = n^{1 + 2}

= 7 m^{3} \cdot 3 n^{1 + 2} m^{2}

Add the numbers:

1 + 2 = 3

= 7 m^{3} \cdot 3 n^{3} m^{2}

Apply exponent rule:

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

m^{3} m^{2} = m^{3 + 2}

= 7 \cdot 3 n^{3} m^{3 + 2}

Add the numbers:

3 + 2 = 5

= 7 \cdot 3 n^{3} m^{5}

Multiply the numbers:

7 \cdot 3 = 21

= 21 n^{3} m^{5}

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Frequently Asked Questions (FAQ)

What is (7nm^3)(3n^2m^2) ?
The solution to (7nm^3)(3n^2m^2) is 21n^3m^5