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Popular >

simplify (7a^4b^4)(6a^2b)

Solution

simplify

(7 a^{4} b^{4}) (6 a^{2} b)

Solution

42 a^{6} b^{5}

Solution steps

(7 a^{4} b^{4}) (6 a^{2} b)

Apply exponent rule:

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

a^{4} a^{2} = a^{4 + 2}

= 7 b^{4} \cdot 6 a^{4 + 2} b

Add the numbers:

4 + 2 = 6

= 7 b^{4} \cdot 6 a^{6} b

Apply exponent rule:

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

b^{4} b = b^{4 + 1}

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

Add the numbers:

4 + 1 = 5

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

Multiply the numbers:

7 \cdot 6 = 42

= 42 a^{6} b^{5}

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Frequently Asked Questions (FAQ)

What is (7a^4b^4)(6a^2b) ?
The solution to (7a^4b^4)(6a^2b) is 42a^6b^5