What is 1/4 de 1/5 de 1/10 de^{40000} ?

The solution to 1/4 de 1/5 de 1/10 de^{40000} is (de^2de^{40000})/(200)

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simplify 1/4 de 1/5 de 1/10 de^{40000}

simplify

\frac{1}{4} d e \frac{1}{5} d e \frac{1}{10} d e^{40000}

\frac{d e ^{2} d e ^{40000}}{200}

Solution steps

\frac{1}{4} d e \frac{1}{5} d e \frac{1}{10} d e^{40000}

Apply exponent rule:

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

d e d e = d e^{1 + 1}

= \frac{1}{4} \cdot \frac{1}{5} d e^{1 + 1} \frac{1}{10} d e^{40000}

Add the numbers:

1 + 1 = 2

= \frac{1}{4} \cdot \frac{1}{5} d e^{2} \frac{1}{10} d e^{40000}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 1 \cdot 1 \cdot d e ^{2} d e ^{40000}}{4 \cdot 5 \cdot 10}

Multiply:

1 \cdot 1 \cdot 1 \cdot d e^{2} d e^{40000} = d e^{2} d e^{40000}

= \frac{d e ^{2} d e ^{40000}}{4 \cdot 5 \cdot 10}

Multiply the numbers:

4 \cdot 5 \cdot 10 = 200

= \frac{d e ^{2} d e ^{40000}}{200}

\frac{y}{3} \cdot y^{2}

22 x^{2} x

e^{- 150}

(cos^{2} (y))^{- 1}

(6 y z^{2}) (4 y^{2} z)

What is 1/4 de 1/5 de 1/10 de^{40000} ?
The solution to 1/4 de 1/5 de 1/10 de^{40000} is (de^2de^{40000})/(200)