(i) \( \frac{2^{3} \times 3^{4} \times 4}{2 \times 32} \)

Part-II: Fill in the blank space by short answer only (1pt each) 5. What is the negation of; Every student in this class likes mathematics. 6. The GCF and LCM of two numbers are 3 and 180 respectively. If one of the numbers is 12, then the second number is.

2.) The function \( g \) is related to one of the parent functions \( g(x)=x 2-3 \) The parent function is: \( f(x)=x^{\wedge} 2 \) Use function notation to write \( g \) in terms of \( f \).

Si las raíces de una ecuación cuadrática son \( 3 / 2 \) y -5 , entonce es:

Aplica la propiedad del cociente de potencias a esta expresión: \( \frac{y^{5}}{y^{-2}} \).

3.) The function \( g \) is related to one of the parent functions \( g(x)=-(x-2)^{\wedge} 3 \) a.) Identify the parent function \( f \). b.) Use function notation to write \( g \) in terms of \( f \).