What is simplify-2e^{-2(2.5)}*2.5^4 ?

The solution to simplify-2e^{-2(2.5)}*2.5^4 is -0.52640…

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simplify-2e^{-2(2.5)}*2.5^4

simplify

- 2 e^{- 2 (2.5)} \cdot 2. 5^{4}

- 0.52640 \dots

Solution steps

- 2 e^{- 2 (2.5)} \cdot 2. 5^{4}

Apply exponent rule:

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

= - 2 \cdot 2. 5^{4} \cdot \frac{1}{e ^{2 \cdot 2.5}}

Multiply the numbers:

2 \cdot 2.5 = 5

= - 2 \cdot 2. 5^{4} \cdot \frac{1}{e ^{5}}

Multiply fractions:

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

= - \frac{1 \cdot 2 \cdot 2. 5 ^{4}}{e ^{5}}

Multiply the numbers:

1 \cdot 2 = 2

= - \frac{2 \cdot 2. 5 ^{4}}{e ^{5}}

2 \cdot 2. 5^{4} = 78.125

= - \frac{78.125}{e ^{5}}

Simplify

\frac{78.125}{e ^{5}} : 0.52640 \dots

= - 0.52640 \dots

9 - 2 x 9 - 2 x^{2}

ln (\frac{x ^{2} - 9}{4 - x ^{2}})

lo g_{2} (8) - lo g_{2} (x) - lo g_{2} (y)

lo g_{10} (2) + lo g_{10} (3)

What is simplify-2e^{-2(2.5)}*2.5^4 ?
The solution to simplify-2e^{-2(2.5)}*2.5^4 is -0.52640…