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Popular >

simplify (5abc^3)(5a^3b^2c^3)

Solution

simplify

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

Solution

25 a^{4} b^{3} c^{6}

Solution steps

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

Apply exponent rule:

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

5 \cdot 5 = 5^{1 + 1}

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

Add the numbers:

1 + 1 = 2

= ab c^{3} \cdot 5^{2} a^{3} b^{2} c^{3}

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

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

Apply exponent rule:

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

b b^{2} = b^{1 + 2}

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

c^{3} c^{3} = c^{3 + 3}

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

Add the numbers:

3 + 3 = 6

= 5^{2} a^{4} b^{3} c^{6}

5^{2} = 25

= 25 a^{4} b^{3} c^{6}

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Frequently Asked Questions (FAQ)

What is (5abc^3)(5a^3b^2c^3) ?
The solution to (5abc^3)(5a^3b^2c^3) is 25a^4b^3c^6