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Popular >

simplify (a^2b^3c^4)(ax^2b)

Solution

simplify

(a^{2} b^{3} c^{4}) (a x^{2} b)

Solution

a^{3} b^{4} c^{4} x^{2}

Solution steps

(a^{2} b^{3} c^{4}) (a x^{2} b)

Apply exponent rule:

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

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

= b^{3} c^{4} a^{2 + 1} x^{2} b

Add the numbers:

2 + 1 = 3

= b^{3} c^{4} a^{3} x^{2} b

Apply exponent rule:

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

b^{3} b = b^{3 + 1}

= c^{4} a^{3} x^{2} b^{3 + 1}

Add the numbers:

3 + 1 = 4

= c^{4} a^{3} x^{2} b^{4}

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Frequently Asked Questions (FAQ)

What is (a^2b^3c^4)(ax^2b) ?
The solution to (a^2b^3c^4)(ax^2b) is a^3b^4c^4x^2