1. veRO o falso? Motiva la risposta. a. \( 0^{-4}=0 \). b. Ogni numero razionale diverso da zero è minore del suo quadrato. c. \( a^{-1}<a, \forall a \in \mathbb{Q} \) e \( a \neq 0 \). d. \( -a^{-1}=\frac{1}{a}, \forall a \in \mathbb{Q} \) e \( a \neq 0 \). e. \( \frac{1}{a^{-1}}=a, \forall a \in \mathbb{Q} \) e \( a \neq 0 \).

Solve for \( x \) \[ \log _{3}(-2 x+4)=2 \]

h) \( \left[(1,2)^{4}:(1,2)^{-3}\right] \cdot(1,2)^{-5}= \)

Simplify the expression. Write the answer without using negative exponents. All variables represent positive real numbers. \[ \left(\mathrm{mn}^{-2 / 3}\right)^{-3 / 5} \]

ANIMATION A computer graphics animator would like to make a realistic simulation of a tossed ball. The animator wants the ball to follow the parabolic trajectory represented by \( f(x)=-0.2(x+5)(x-5) \). a. What are the solutions of \( f(x)=0 \) ? List the solutions from least to greatest.

Part \( \mathbf{B} \) b. If the animator changes the equation to \( f(x)=-0.2 x^{2}+20 \), what are the solutions of \( f(x)=0 \) ? List the solutions from least to greatest.