What is (7a^5c^2)(2a^4bc^6) ?

The solution to (7a^5c^2)(2a^4bc^6) is 14a^9c^8b

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simplify (7a^5c^2)(2a^4bc^6)

simplify

(7 a^{5} c^{2}) (2 a^{4} b c^{6})

14 a^{9} c^{8} b

Solution steps

(7 a^{5} c^{2}) (2 a^{4} b c^{6})

Apply exponent rule:

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

a^{5} a^{4} = a^{5 + 4}

= 7 c^{2} \cdot 2 a^{5 + 4} b c^{6}

Add the numbers:

5 + 4 = 9

= 7 c^{2} \cdot 2 a^{9} b c^{6}

Apply exponent rule:

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

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

= 7 \cdot 2 a^{9} b c^{2 + 6}

Add the numbers:

2 + 6 = 8

= 7 \cdot 2 a^{9} b c^{8}

Multiply the numbers:

7 \cdot 2 = 14

= 14 a^{9} c^{8} b

t^{3} e^{- 8 t}

- 0.5 \cdot 1^{- 1.5} \cdot 0.8

3^{n + 1}

4.56 \cdot 1 0^{- 1}

e^{- l n (3 x^{4})}