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Popular >

simplify (abc)(b^2c^3d)

Solution

simplify

(ab c) (b^{2} c^{3} d)

Solution

a b^{3} c^{4} d

Solution steps

(ab c) (b^{2} c^{3} d)

Apply exponent rule:

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

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

= a c b^{1 + 2} c^{3} d

Add the numbers:

1 + 2 = 3

= a c b^{3} c^{3} d

Apply exponent rule:

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

c c^{3} = c^{1 + 3}

= a b^{3} c^{1 + 3} d

Add the numbers:

1 + 3 = 4

= a b^{3} c^{4} d

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Frequently Asked Questions (FAQ)

What is (abc)(b^2c^3d) ?
The solution to (abc)(b^2c^3d) is ab^3c^4d