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Popular >

simplify 3b^8(4ab^4)

Solution

simplify

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

Solution

12 b^{12} a

Solution steps

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

Apply exponent rule:

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

b^{8} b^{4} = b^{8 + 4}

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

Add the numbers:

8 + 4 = 12

= 3 \cdot 4 a b^{12}

Multiply the numbers:

3 \cdot 4 = 12

= 12 b^{12} a

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Frequently Asked Questions (FAQ)

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