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Popular >

simplify (l^2k^2)(l^3k)

Solution

simplify

(l^{2} k^{2}) (l^{3} k)

Solution

l^{5} k^{3}

Solution steps

(l^{2} k^{2}) (l^{3} k)

Apply exponent rule:

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

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

= k^{2} l^{2 + 3} k

Add the numbers:

2 + 3 = 5

= k^{2} l^{5} k

Apply exponent rule:

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

k^{2} k = k^{2 + 1}

= l^{5} k^{2 + 1}

Add the numbers:

2 + 1 = 3

= l^{5} k^{3}

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Frequently Asked Questions (FAQ)

What is (l^2k^2)(l^3k) ?
The solution to (l^2k^2)(l^3k) is l^5k^3