What is 5^6(1+4e^{-4})^{-1} ?

The solution to 5^6(1+4e^{-4})^{-1} is (15625e^4)/(e^4+4)

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simplify 5^6(1+4e^{-4})^{-1}

simplify

5^{6} (1 + 4 e^{- 4})^{- 1}

\frac{15625 e ^{4}}{e ^{4} + 4}

Decimal Notation

14558.41342 \dots

Solution steps

5^{6} (1 + 4 e^{- 4})^{- 1}

Apply exponent rule:

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

= 5^{6} \cdot \frac{1}{( 4 e ^{- 4} + 1 )}

\frac{1}{1 + 4 e ^{- 4}} = \frac{e ^{4}}{e ^{4} + 4}

= 5^{6} \cdot \frac{e ^{4}}{e ^{4} + 4}

Multiply fractions:

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

= \frac{e ^{4} \cdot 5 ^{6}}{e ^{4} + 4}

5^{6} = 15625

= \frac{15625 e ^{4}}{e ^{4} + 4}

e^{- 0.3} \cdot e^{- 0.1}

e^{- b \cdot 0}

a s d w a s^{a}

5.87 \cdot 1 0^{- 3} \cdot 12.6

298.15 \cdot (\frac{0.1}{3})^{- \frac{1.67 - 1}{1.67}}

What is 5^6(1+4e^{-4})^{-1} ?
The solution to 5^6(1+4e^{-4})^{-1} is (15625e^4)/(e^4+4)