What is 4pi(2/3 t^3-2t^2+3)(2/3 t^3-2t^2+3) ?

The solution to 4pi(2/3 t^3-2t^2+3)(2/3 t^3-2t^2+3) is 4pi((2t^3)/3-2t^2+3)^2

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simplify 4pi(2/3 t^3-2t^2+3)(2/3 t^3-2t^2+3)

simplify

4 π (\frac{2}{3} t^{3} - 2 t^{2} + 3) (\frac{2}{3} t^{3} - 2 t^{2} + 3)

4 π (\frac{2 t ^{3}}{3} - 2 t^{2} + 3)^{2}

Solution steps

4 π (\frac{2}{3} t^{3} - 2 t^{2} + 3) (\frac{2}{3} t^{3} - 2 t^{2} + 3)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

(\frac{2}{3} t^{3} - 2 t^{2} + 3) (\frac{2}{3} t^{3} - 2 t^{2} + 3) = (\frac{2}{3} t^{3} - 2 t^{2} + 3)^{1 + 1}

= 4 π (\frac{2}{3} t^{3} - 2 t^{2} + 3)^{1 + 1}

Add the numbers:

1 + 1 = 2

= 4 π (\frac{2}{3} t^{3} - 2 t^{2} + 3)^{2}

(\frac{2}{3} t^{3} - 2 t^{2} + 3)^{2} = (\frac{2 t ^{3}}{3} - 2 t^{2} + 3)^{2}

= 4 π (\frac{2 t ^{3}}{3} - 2 t^{2} + 3)^{2}

e^{- \frac{0.74 \cdot 12}{\frac{268}{32}}}

6 x 1 0^{- 3} \frac{5.3 x 1 0 ^{3}}{1 0 ^{- 9}}

(4 y^{7}) (5 y^{4})

(4 x^{3}) (9 x)

- 0.7978 e^{- 0.01 (75)}

What is 4pi(2/3 t^3-2t^2+3)(2/3 t^3-2t^2+3) ?
The solution to 4pi(2/3 t^3-2t^2+3)(2/3 t^3-2t^2+3) is 4pi((2t^3)/3-2t^2+3)^2