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Popular >

simplify 4a^4b^2(4a^3b^6)

Solution

simplify

4 a^{4} b^{2} (4 a^{3} b^{6})

Solution

16 a^{7} b^{8}

Solution steps

4 a^{4} b^{2} (4 a^{3} b^{6})

Apply exponent rule:

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

4 \cdot 4 = 4^{1 + 1}

= a^{4} b^{2} \cdot 4^{1 + 1} a^{3} b^{6}

Add the numbers:

1 + 1 = 2

= a^{4} b^{2} \cdot 4^{2} a^{3} b^{6}

Apply exponent rule:

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

a^{4} a^{3} = a^{4 + 3}

= b^{2} \cdot 4^{2} a^{4 + 3} b^{6}

Add the numbers:

4 + 3 = 7

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

Apply exponent rule:

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

b^{2} b^{6} = b^{2 + 6}

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

Add the numbers:

2 + 6 = 8

= 4^{2} a^{7} b^{8}

4^{2} = 16

= 16 a^{7} b^{8}

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Frequently Asked Questions (FAQ)

What is 4a^4b^2(4a^3b^6) ?
The solution to 4a^4b^2(4a^3b^6) is 16a^7b^8