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Popular >

simplify (5a^4b^6)(7ab^6)

Solution

simplify

(5 a^{4} b^{6}) (7 a b^{6})

Solution

35 a^{5} b^{12}

Solution steps

(5 a^{4} b^{6}) (7 a b^{6})

Apply exponent rule:

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

a^{4} a = a^{4 + 1}

= 5 b^{6} \cdot 7 a^{4 + 1} b^{6}

Add the numbers:

4 + 1 = 5

= 5 b^{6} \cdot 7 a^{5} b^{6}

Apply exponent rule:

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

b^{6} b^{6} = b^{6 + 6}

= 5 \cdot 7 a^{5} b^{6 + 6}

Add the numbers:

6 + 6 = 12

= 5 \cdot 7 a^{5} b^{12}

Multiply the numbers:

5 \cdot 7 = 35

= 35 a^{5} b^{12}

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Frequently Asked Questions (FAQ)

What is (5a^4b^6)(7ab^6) ?
The solution to (5a^4b^6)(7ab^6) is 35a^5b^{12}