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Popular >

simplify (c^2d^3)(c^5d^6)

Solution

simplify

(c^{2} d^{3}) (c^{5} d^{6})

Solution

c^{7} d^{9}

Solution steps

(c^{2} d^{3}) (c^{5} d^{6})

Apply exponent rule:

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

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

= d^{3} c^{2 + 5} d^{6}

Add the numbers:

2 + 5 = 7

= d^{3} c^{7} d^{6}

Apply exponent rule:

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

d^{3} d^{6} = d^{3 + 6}

= c^{7} d^{3 + 6}

Add the numbers:

3 + 6 = 9

= c^{7} d^{9}

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Frequently Asked Questions (FAQ)

What is (c^2d^3)(c^5d^6) ?
The solution to (c^2d^3)(c^5d^6) is c^7d^9