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Popular >

simplify (l^2m)\times (m^2l)

Solution

simplify

(l^{2} m) \cdot (m^{2} l)

Solution

l^{3} m^{3}

Solution steps

(l^{2} m) (m^{2} l)

Apply exponent rule:

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

l^{2} l = l^{2 + 1}

= m m^{2} l^{2 + 1}

Add the numbers:

2 + 1 = 3

= m m^{2} l^{3}

Apply exponent rule:

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

m m^{2} = m^{1 + 2}

= m^{1 + 2} l^{3}

Add the numbers:

1 + 2 = 3

= m^{3} l^{3}

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Frequently Asked Questions (FAQ)

What is (l^2m)\times (m^2l) ?
The solution to (l^2m)\times (m^2l) is l^3m^3