Answer :

Larrysammz

Answer:

-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

Answer:

[tex]-\frac{1}{32}[/tex]

Step-by-step explanation:

Given Equation:

[tex]\frac{1}{2^-^2*x^-^3*y^5}[/tex]

Multiplying numerator and denominator by [tex]2^2*x^3[/tex] gives:

       [tex]\frac{2^2*x^3}{y^5}[/tex]

We have to evaluate the equation at [tex]x=2 and y=-4[/tex]

Putting the values of x and y in the equation:

           =  [tex]\frac{2^2*2^3}{(-4)^5}[/tex]

         = [tex]\frac{4*8}{(-1024)}[/tex]

         = [tex]-\frac{32}{1024} \\[/tex]

          =  [tex]-\frac{1}{32}[/tex]

On putting the value of 'x' and 'y' in the equation the solution of the equation is [tex]-\frac{1}{32}[/tex]

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