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Popular >

simplify (a^4b^5)(5a^8b^3c^5)

Solution

simplify

(a^{4} b^{5}) (5 a^{8} b^{3} c^{5})

Solution

5 a^{12} b^{8} c^{5}

Solution steps

(a^{4} b^{5}) (5 a^{8} b^{3} c^{5})

Apply exponent rule:

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

a^{4} a^{8} = a^{4 + 8}

= b^{5} \cdot 5 a^{4 + 8} b^{3} c^{5}

Add the numbers:

4 + 8 = 12

= b^{5} \cdot 5 a^{12} b^{3} c^{5}

Apply exponent rule:

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

b^{5} b^{3} = b^{5 + 3}

= 5 a^{12} b^{5 + 3} c^{5}

Add the numbers:

5 + 3 = 8

= 5 a^{12} b^{8} c^{5}

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Frequently Asked Questions (FAQ)

What is (a^4b^5)(5a^8b^3c^5) ?
The solution to (a^4b^5)(5a^8b^3c^5) is 5a^{12}b^8c^5