What is (3c^2d^4)(4c^6d^7) ?

The solution to (3c^2d^4)(4c^6d^7) is 12c^8d^{11}

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simplify (3c^2d^4)(4c^6d^7)

simplify

(3 c^{2} d^{4}) (4 c^{6} d^{7})

12 c^{8} d^{11}

Solution steps

(3 c^{2} d^{4}) (4 c^{6} d^{7})

Apply exponent rule:

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

c^{2} c^{6} = c^{2 + 6}

= 3 d^{4} \cdot 4 c^{2 + 6} d^{7}

Add the numbers:

2 + 6 = 8

= 3 d^{4} \cdot 4 c^{8} d^{7}

Apply exponent rule:

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

d^{4} d^{7} = d^{4 + 7}

= 3 \cdot 4 c^{8} d^{4 + 7}

Add the numbers:

4 + 7 = 11

= 3 \cdot 4 c^{8} d^{11}

Multiply the numbers:

3 \cdot 4 = 12

= 12 c^{8} d^{11}

7.6 \cdot 1 0^{- 5}

e^{- 2.7}

60 (2)^{- 0.02 (405)}

x e^{4 x} \cdot e^{4 x}