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Popular >

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

Solution

simplify

(m^{4} y z^{4}) (m^{3} y z^{2})

Solution

m^{7} y^{2} z^{6}

Solution steps

(m^{4} y z^{4}) (m^{3} y z^{2})

Apply exponent rule:

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

m^{4} m^{3} = m^{4 + 3}

= y z^{4} m^{4 + 3} y z^{2}

Add the numbers:

4 + 3 = 7

= y z^{4} m^{7} y z^{2}

Apply exponent rule:

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

yy = y^{1 + 1}

= z^{4} m^{7} y^{1 + 1} z^{2}

Add the numbers:

1 + 1 = 2

= z^{4} m^{7} y^{2} z^{2}

Apply exponent rule:

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

z^{4} z^{2} = z^{4 + 2}

= m^{7} y^{2} z^{4 + 2}

Add the numbers:

4 + 2 = 6

= m^{7} y^{2} z^{6}

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Frequently Asked Questions (FAQ)

What is (m^4yz^4)(m^3yz^2) ?
The solution to (m^4yz^4)(m^3yz^2) is m^7y^2z^6