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Popular >

simplify (m^3p^6)(m^2p^3)

Solution

simplify

(m^{3} p^{6}) (m^{2} p^{3})

Solution

m^{5} p^{9}

Solution steps

(m^{3} p^{6}) (m^{2} p^{3})

Apply exponent rule:

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

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

= p^{6} m^{3 + 2} p^{3}

Add the numbers:

3 + 2 = 5

= p^{6} m^{5} p^{3}

Apply exponent rule:

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

p^{6} p^{3} = p^{6 + 3}

= m^{5} p^{6 + 3}

Add the numbers:

6 + 3 = 9

= m^{5} p^{9}

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Frequently Asked Questions (FAQ)

What is (m^3p^6)(m^2p^3) ?
The solution to (m^3p^6)(m^2p^3) is m^5p^9