Evaluat 1/2^-2x^-3y^5 for x=2 and y=-4

-1/32

Step-by-step explanation:

1/(2⁻²x⁻³y⁵)

x=2

y=-4

1/(2⁻²x⁻³y⁵)  = 1/(2⁻²2⁻³-4⁵)  

4= 2²

equate it back where 4 is

1/(2⁻²2⁻³2²⁽⁵⁾)  = 1/(2⁻²2⁻³2¹⁰)

using law of indices

1/(2⁻²⁺⁽⁻³⁾+¹⁰)  = 1/(2⁻²⁻³⁺¹⁰) = 1/2⁻⁵⁺¹⁰= 1/2⁻⁵ = -1/2x2x2x2x2 = -1/32

Step-by-step explanation:

Given Equation:

Multiplying numerator and denominator by gives:

We have to evaluate the equation at

Putting the values of x and y in the equation:

           =  

         =

         =

          =  

On putting the value of 'x' and 'y' in the equation the solution of the equation is

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,