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Popular >

simplify (6cd^3)(2c^4d)

Solution

simplify

(6 c d^{3}) (2 c^{4} d)

Solution

12 c^{5} d^{4}

Solution steps

(6 c d^{3}) (2 c^{4} d)

Apply exponent rule:

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

c c^{4} = c^{1 + 4}

= 6 d^{3} \cdot 2 c^{1 + 4} d

Add the numbers:

1 + 4 = 5

= 6 d^{3} \cdot 2 c^{5} d

Apply exponent rule:

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

d^{3} d = d^{3 + 1}

= 6 \cdot 2 c^{5} d^{3 + 1}

Add the numbers:

3 + 1 = 4

= 6 \cdot 2 c^{5} d^{4}

Multiply the numbers:

6 \cdot 2 = 12

= 12 c^{5} d^{4}

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Frequently Asked Questions (FAQ)

What is (6cd^3)(2c^4d) ?
The solution to (6cd^3)(2c^4d) is 12c^5d^4