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Popular >

simplify (a^nb)(a^nb^2)

Solution

simplify

(a^{n} b) (a^{n} b^{2})

Solution

b^{3} a^{2 n}

Solution steps

(a^{n} b) (a^{n} b^{2})

Apply exponent rule:

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

a^{n} a^{n} = a^{n + n}

= b a^{n + n} b^{2}

Add similar elements:

n + n = 2 n

= b a^{2 n} b^{2}

Apply exponent rule:

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

b b^{2} = b^{1 + 2}

= a^{2 n} b^{1 + 2}

Add the numbers:

1 + 2 = 3

= a^{2 n} b^{3}

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Frequently Asked Questions (FAQ)

What is (a^nb)(a^nb^2) ?
The solution to (a^nb)(a^nb^2) is b^3a^{2n}