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Popular >

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

Solution

simplify

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

Solution

c^{4} d^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

= d^{2} c^{4} d^{2}

Apply exponent rule:

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

d^{2} d^{2} = d^{2 + 2}

= c^{4} d^{2 + 2}

Add the numbers:

2 + 2 = 4

= c^{4} d^{4}

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Frequently Asked Questions (FAQ)

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