What is (-0.3)^2(0.4t^3w^2)^2 ?

The solution to (-0.3)^2(0.4t^3w^2)^2 is 0.0144t^6w^4

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simplify (-0.3)^2(0.4t^3w^2)^2

simplify

(- 0.3)^{2} (0.4 t^{3} w^{2})^{2}

0.0144 t^{6} w^{4}

Solution steps

(- 0.3)^{2} (0.4 t^{3} w^{2})^{2}

(- 0.3)^{2} = 0.09

= 0.09 (0.4 t^{3} w^{2})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(0.4 t^{3} w^{2})^{2} = 0. 4^{2} (t^{3})^{2} (w^{2})^{2}

= 0.09 \cdot 0. 4^{2} (t^{3})^{2} (w^{2})^{2}

0. 4^{2} = 0.16

= 0.09 \cdot 0.16 (t^{3})^{2} (w^{2})^{2}

Simplify

(t^{3})^{2} : t^{6}

= 0.09 \cdot 0.16 t^{6} (w^{2})^{2}

Simplify

(w^{2})^{2} : w^{4}

= 0.09 \cdot 0.16 t^{6} w^{4}

Multiply the numbers:

0.09 \cdot 0.16 = 0.0144

= 0.0144 t^{6} w^{4}

(a - b + c)^{2} (a + b - c)^{2}

e^{- \frac{l n ( x )}{a}}

15 \cdot 6.94 x 1 0^{- 3}

e^{- x} ln (e) (x + 3)

(4 x^{3} y) (2 x^{4})

What is (-0.3)^2(0.4t^3w^2)^2 ?
The solution to (-0.3)^2(0.4t^3w^2)^2 is 0.0144t^6w^4