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Popular >

simplify (5n^3m^2)(3nm^5)

Solution

simplify

(5 n^{3} m^{2}) (3 n m^{5})

Solution

15 n^{4} m^{7}

Solution steps

(5 n^{3} m^{2}) (3 n m^{5})

Apply exponent rule:

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

n^{3} n = n^{3 + 1}

= 5 m^{2} \cdot 3 n^{3 + 1} m^{5}

Add the numbers:

3 + 1 = 4

= 5 m^{2} \cdot 3 n^{4} m^{5}

Apply exponent rule:

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

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

= 5 \cdot 3 n^{4} m^{2 + 5}

Add the numbers:

2 + 5 = 7

= 5 \cdot 3 n^{4} m^{7}

Multiply the numbers:

5 \cdot 3 = 15

= 15 n^{4} m^{7}

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Frequently Asked Questions (FAQ)

What is (5n^3m^2)(3nm^5) ?
The solution to (5n^3m^2)(3nm^5) is 15n^4m^7