What is 1.5e^{1.5*2/3}((2/3)^2-2/3) ?

The solution to 1.5e^{1.5*2/3}((2/3)^2-2/3) is -0.90609…

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simplify 1.5e^{1.5*2/3}((2/3)^2-2/3)

simplify

1.5 e^{1.5 \cdot \frac{2}{3}} ((\frac{2}{3})^{2} - \frac{2}{3})

- 0.90609 \dots

Solution steps

1.5 e^{1.5 \cdot \frac{2}{3}} ((\frac{2}{3})^{2} - \frac{2}{3})

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= 1.5 e^{1.5 \cdot \frac{2}{3}} (\frac{2 ^{2}}{3 ^{2}} - \frac{2}{3})

e^{1.5 \cdot \frac{2}{3}} = e

= 1.5 e (\frac{2 ^{2}}{3 ^{2}} - \frac{2}{3})

\frac{2 ^{2}}{3 ^{2}} = 0.44444 \dots

= 1.5 e (- \frac{2}{3} + 0.44444 \dots)

Simplify

0.44444 \dots - \frac{2}{3} : - 0.22222 \dots

= (- 0.22222 \dots) \cdot 1.5 e

Remove parentheses:

(- a) = - a

= - 1.5 e 0.22222 \dots

Multiply the numbers:

1.5 \cdot 0.22222 \dots = 0.33333 \dots

= - 0.33333 \dots e

Multiply the numbers:

0.33333 \dots \cdot 2.71828 \dots = 0.90609 \dots

= - 0.90609 \dots

x^{2} y^{3} + 2 x^{3} y^{4} + x y y

9 x^{2} = - 324

y^{2} - 3 y = 0

4 r + 8 + 5 = - 15 - 3 r

- (x + 8) = 2 (4 x + 5)

What is 1.5e^{1.5*2/3}((2/3)^2-2/3) ?
The solution to 1.5e^{1.5*2/3}((2/3)^2-2/3) is -0.90609…