Tyrone claims that the first step to simplify this expression is to raise the numerator and denominator to the third
power. Alisha claims that the first step to simplify is to
apply the quotient of powers. Who is correct? Explain.
TIM

1/(m^4*n^2

Step-by-step explanation:

The given expression is

(m^2*n^-3)/(m^6*n^-1)

Tyrone's approach.

Raising the expression to the 3rd power will not help. It will make the expression more complicated.

Alisha's approach.

(m^2*n^-2)/(m^6*n^-1)

= m^(2-6)*n^(-3+1)

= m^-4*n^-2

= 1/(m^4*n^2)

Alisha's approach will simplify the expression to 1/(m^4*n^2

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.