What is 5^6(1+4e^{-2(3)})^{-1} ?

The solution to 5^6(1+4e^{-2(3)})^{-1} is (15625e^6)/(e^6+4)

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simplify 5^6(1+4e^{-2(3)})^{-1}

simplify

5^{6} (1 + 4 e^{- 2 (3)})^{- 1}

\frac{15625 e ^{6}}{e ^{6} + 4}

Solution steps

5^{6} (1 + 4 e^{- 2 (3)})^{- 1}

Apply exponent rule:

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

= 5^{6} \cdot \frac{1}{( 4 e ^{- 2 \cdot 3} + 1 )}

\frac{1}{1 + 4 e ^{- 2 \cdot 3}} = \frac{e ^{6}}{e ^{6} + 4}

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

Multiply fractions:

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

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

5^{6} = 15625

= \frac{15625 e ^{6}}{e ^{6} + 4}

e^{(2)^{2} - 4} (2 (2))

4.76 \cdot 1 0^{- 15} \cdot 2

e^{- t + x} \cdot e^{- x}

(8.99 \cdot 1 0^{- 9}) (1 \cdot 1 0^{- 6}) (1 \cdot 1 0^{- 6})

\frac{1}{2} π x^{2} \cdot x

What is 5^6(1+4e^{-2(3)})^{-1} ?
The solution to 5^6(1+4e^{-2(3)})^{-1} is (15625e^6)/(e^6+4)