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Popular >

simplify (7a^4b)(4a^7b^8)

Solution

simplify

(7 a^{4} b) (4 a^{7} b^{8})

Solution

28 a^{11} b^{9}

Solution steps

(7 a^{4} b) (4 a^{7} b^{8})

Apply exponent rule:

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

a^{4} a^{7} = a^{4 + 7}

= 7 b \cdot 4 a^{4 + 7} b^{8}

Add the numbers:

4 + 7 = 11

= 7 b \cdot 4 a^{11} b^{8}

Apply exponent rule:

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

b b^{8} = b^{1 + 8}

= 7 \cdot 4 a^{11} b^{1 + 8}

Add the numbers:

1 + 8 = 9

= 7 \cdot 4 a^{11} b^{9}

Multiply the numbers:

7 \cdot 4 = 28

= 28 a^{11} b^{9}

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Frequently Asked Questions (FAQ)

What is (7a^4b)(4a^7b^8) ?
The solution to (7a^4b)(4a^7b^8) is 28a^{11}b^9