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Popular >

simplify (m^6n)(m^{12}n^7)

Solution

simplify

(m^{6} n) (m^{12} n^{7})

Solution

m^{18} n^{8}

Solution steps

(m^{6} n) (m^{12} n^{7})

Apply exponent rule:

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

m^{6} m^{12} = m^{6 + 12}

= n m^{6 + 12} n^{7}

Add the numbers:

6 + 12 = 18

= n m^{18} n^{7}

Apply exponent rule:

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

n n^{7} = n^{1 + 7}

= m^{18} n^{1 + 7}

Add the numbers:

1 + 7 = 8

= m^{18} n^{8}

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Frequently Asked Questions (FAQ)

What is (m^6n)(m^{12}n^7) ?
The solution to (m^6n)(m^{12}n^7) is m^{18}n^8