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Popular >

simplify 5a^2b(9ab^6c)

Solution

simplify

5 a^{2} b (9 a b^{6} c)

Solution

45 a^{3} b^{7} c

Solution steps

5 a^{2} b (9 a b^{6} c)

Apply exponent rule:

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

a^{2} a = a^{2 + 1}

= 5 b \cdot 9 a^{2 + 1} b^{6} c

Add the numbers:

2 + 1 = 3

= 5 b \cdot 9 a^{3} b^{6} c

Apply exponent rule:

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

b b^{6} = b^{1 + 6}

= 5 \cdot 9 a^{3} b^{1 + 6} c

Add the numbers:

1 + 6 = 7

= 5 \cdot 9 a^{3} b^{7} c

Multiply the numbers:

5 \cdot 9 = 45

= 45 a^{3} b^{7} c

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Frequently Asked Questions (FAQ)

What is 5a^2b(9ab^6c) ?
The solution to 5a^2b(9ab^6c) is 45a^3b^7c