What is 10^{-5x^x}e^{-x^2} ?

The solution to 10^{-5x^x}e^{-x^2} is 1/(100000^{x^x)e^{x^2}}

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simplify 10^{-5x^x}e^{-x^2}

simplify

1 0^{- 5 x^{x}} e^{- x^{2}}

\frac{1}{10000 0 ^{x^{x}} e ^{x^{2}}}

Solution steps

1 0^{- 5 x^{x}} e^{- x^{2}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= e^{- x^{2}} \frac{1}{1 0 ^{5 x^{x}}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{1 0 ^{5 x^{x}}} \cdot \frac{1}{e ^{x^{2}}}

Multiply fractions:

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

= \frac{1 \cdot 1}{1 0 ^{5 x^{x}} e ^{x^{2}}}

Multiply the numbers:

1 \cdot 1 = 1

= \frac{1}{1 0 ^{5 x^{x}} e ^{x^{2}}}

1 0^{5 x^{x}} = 10000 0^{x^{x}}

= \frac{1}{10000 0 ^{x^{x}} e ^{x^{2}}}

e^{- t} \cdot (- 3) e^{- 3 t}

(x + h)^{2} x^{2}

\frac{13}{14}

450 \times 0.012 \times 0.655 \times (2.1 \times 1 0^{- 5})

What is 10^{-5x^x}e^{-x^2} ?
The solution to 10^{-5x^x}e^{-x^2} is 1/(100000^{x^x)e^{x^2}}