What is 2a^6b^3(6a^8c^3) ?

The solution to 2a^6b^3(6a^8c^3) is 12a^{14}b^3c^3

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simplify 2a^6b^3(6a^8c^3)

simplify

2 a^{6} b^{3} (6 a^{8} c^{3})

12 a^{14} b^{3} c^{3}

Solution steps

2 a^{6} b^{3} (6 a^{8} c^{3})

Apply exponent rule:

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

a^{6} a^{8} = a^{6 + 8}

= 2 b^{3} \cdot 6 a^{6 + 8} c^{3}

Add the numbers:

6 + 8 = 14

= 2 b^{3} \cdot 6 a^{14} c^{3}

Multiply the numbers:

2 \cdot 6 = 12

= 12 a^{14} b^{3} c^{3}

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