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Popular >

simplify 5a^3bc^2(4abc^5)

Solution

simplify

5 a^{3} b c^{2} (4 ab c^{5})

Solution

20 a^{4} b^{2} c^{7}

Solution steps

5 a^{3} b c^{2} (4 ab c^{5})

Apply exponent rule:

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

a^{3} a = a^{3 + 1}

= 5 b c^{2} \cdot 4 a^{3 + 1} b c^{5}

Add the numbers:

3 + 1 = 4

= 5 b c^{2} \cdot 4 a^{4} b c^{5}

Apply exponent rule:

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

bb = b^{1 + 1}

= 5 c^{2} \cdot 4 a^{4} b^{1 + 1} c^{5}

Add the numbers:

1 + 1 = 2

= 5 c^{2} \cdot 4 a^{4} b^{2} c^{5}

Apply exponent rule:

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

c^{2} c^{5} = c^{2 + 5}

= 5 \cdot 4 a^{4} b^{2} c^{2 + 5}

Add the numbers:

2 + 5 = 7

= 5 \cdot 4 a^{4} b^{2} c^{7}

Multiply the numbers:

5 \cdot 4 = 20

= 20 a^{4} b^{2} c^{7}

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Frequently Asked Questions (FAQ)

What is 5a^3bc^2(4abc^5) ?
The solution to 5a^3bc^2(4abc^5) is 20a^4b^2c^7