What is (5d^8e^2)(9d^{-4}e^{-2}) ?

The solution to (5d^8e^2)(9d^{-4}e^{-2}) is 45d^4

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simplify (5d^8e^2)(9d^{-4}e^{-2})

simplify

(5 d^{8} e^{2}) (9 d^{- 4} e^{- 2})

45 d^{4}

Solution steps

(5 d^{8} e^{2}) (9 d^{- 4} e^{- 2})

Apply exponent rule:

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

e^{2} e^{- 2} = e^{2 - 2}

= 5 d^{8} \cdot 9 d^{- 4} e^{2 - 2}

Subtract the numbers:

2 - 2 = 0

= 5 d^{8} \cdot 9 d^{- 4} e^{0}

Apply exponent rule:

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

d^{8} d^{- 4} = d^{8 - 4}

= 5 \cdot 9 d^{8 - 4} e^{0}

Subtract the numbers:

8 - 4 = 4

= 5 \cdot 9 d^{4} e^{0}

Apply rule

a^{0} = 1, a \neq = 0

e^{0} = 1

= 5 \cdot 9 \cdot 1 \cdot d^{4}

Multiply the numbers:

5 \cdot 9 \cdot 1 = 45

= 45 d^{4}

- 3 e^{- x} cos (x)

(73)^{2}

(a^{3})^{-} 2

x e^{- l n (x)}

What is (5d^8e^2)(9d^{-4}e^{-2}) ?
The solution to (5d^8e^2)(9d^{-4}e^{-2}) is 45d^4