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Popular >

simplify (3ln(y))^2*ln(y)

Solution

simplify

(3 ln (y))^{2} \cdot ln (y)

Solution

9 ln^{3} (y)

Solution steps

(3 ln (y))^{2} ln (y)

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(3 ln (y))^{2} = 3^{2} ln^{2} (y)

= 3^{2} ln^{2} (y) ln (y)

Apply exponent rule:

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

ln^{2} (y) ln (y) = ln^{2 + 1} (y)

= 3^{2} ln^{2 + 1} (y)

Add the numbers:

2 + 1 = 3

= 3^{2} ln^{3} (y)

3^{2} = 9

= 9 ln^{3} (y)

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Frequently Asked Questions (FAQ)

What is (3ln(y))^2*ln(y) ?
The solution to (3ln(y))^2*ln(y) is 9ln^3(y)