EXERCISE 13.2 Exprosseachof the following as a product of prime factorsonly in esponential form \( \begin{array}{llll}\text { (a) } 128 \times 729 & \text { (b) } 144 \times 125 & \text { (c) } 1000 \times 243 & \text { (d) } 224 \times 168 \\ \text { Simplify using lawsofexponents: } & & \text { (d) } 6 \div 6\end{array} \)

5 A leather briefcase was originally priced at \( \$ 199 \), and is reduced to \( \$ 167 \) in a sale. What is the percentage discount?

A jug holds two litres of cola. Each glass holds 200 ml . How many glasses can you fill from one jug?

9. Algebraik ifodaning qiymatini toping. 1) \( 3(8 a+7)-9(3 a-1) \), bunda \( a=-2 \) 2) \( -2(3 a-7)+4(5 a-8) \), bunda \( a=-1 \) 3) \( 6(-2 a+9)-7(3 a-9) \), bunda \( a=3 \) 4) \( 5 a^{2}(4 a-3)-7 a^{2}(2 a+1) \), bunda \( a=2 \)

Sea \( f \) una función cuadrática definida en el conjunto de los números reales. Si la gráfica de \( f \) intersecta al eje \( Y \) en el punto \( (0,10) \) y al eje \( X \) en los puntos \( (-5,0) \) y \( (1,0) \), ¿cuál es la expresión de \( f \) ? A) \( f(x)=x^{2}+4 x+5 \) B) \( f(x)=-2 x^{2}-8 x+10 \) C) \( f(x)=x^{2}-x+5 \) D) \( f(x)=-2 x^{2}-5 x+10 \)

A brand new house and lot costs P5M if paid in cash. On the instalment plan, the buyer should pay \( 30 \% \) down and 20 quarterly instalments. The first payment due at the end of the 1 st year. If money is worth \( 12 \% \) compounded quarterly, determine the amount of quarterly instalments. P257,069.41 P4.85M P3.5M P573,630.56