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Popular >

simplify (a^2b^4c^7)(a^3c^5)

Solution

simplify

(a^{2} b^{4} c^{7}) (a^{3} c^{5})

Solution

a^{5} b^{4} c^{12}

Solution steps

(a^{2} b^{4} c^{7}) (a^{3} c^{5})

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

= b^{4} c^{7} a^{2 + 3} c^{5}

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

c^{7} c^{5} = c^{7 + 5}

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

Add the numbers:

7 + 5 = 12

= b^{4} a^{5} c^{12}

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Frequently Asked Questions (FAQ)

What is (a^2b^4c^7)(a^3c^5) ?
The solution to (a^2b^4c^7)(a^3c^5) is a^5b^4c^{12}