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Popular >

simplify (a^3b^4c^5)(ab^3c)

Solution

simplify

(a^{3} b^{4} c^{5}) (a b^{3} c)

Solution

a^{4} b^{7} c^{6}

Solution steps

(a^{3} b^{4} c^{5}) (a b^{3} c)

Apply exponent rule:

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

a^{3} a = a^{3 + 1}

= b^{4} c^{5} a^{3 + 1} b^{3} c

Add the numbers:

3 + 1 = 4

= b^{4} c^{5} a^{4} b^{3} c

Apply exponent rule:

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

b^{4} b^{3} = b^{4 + 3}

= c^{5} a^{4} b^{4 + 3} c

Add the numbers:

4 + 3 = 7

= c^{5} a^{4} b^{7} c

Apply exponent rule:

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

c^{5} c = c^{5 + 1}

= a^{4} b^{7} c^{5 + 1}

Add the numbers:

5 + 1 = 6

= a^{4} b^{7} c^{6}

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Frequently Asked Questions (FAQ)

What is (a^3b^4c^5)(ab^3c) ?
The solution to (a^3b^4c^5)(ab^3c) is a^4b^7c^6