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Evaluate the following algebraic expressions:1.) 40y-¹, y = 5 2.) 1/m-²(m + 4), m = -8 3.) (p² – 3)-², p = 14.) (x – 1)-² / (x + 1)-², x = 2 5.) y-³ – y-², y = 2

Respuesta :

Perform the calculations as follows.

1. [tex]40y^{-1}, \, y=5.2[/tex]
 = 40*y = 40*5.2
 = 208

2. [tex] \frac{1}{m^{-2}} (m+4),\, m=-8[/tex]
 = m²(m+4)
 = (-8)²*(-8+4)
 = -256

3. (p² - 3)⁻², p=1
 = 1/(p² - 3)²
 = 1/(1 - 3)²
 = 0.25

4. [tex] \frac{(x-1)^{-2}}{(x+1)^{-2}}, \, x=2.5 [/tex]
 [tex]= \frac{(x+1)^{2}}{(x-1)^{2}} [/tex]
 = 3.5²/1.5²
 = 5.444

5. y⁻³ - y⁻², y=2
 = 1/y³ - 1/y²
 = 1/8 - 1/4
 = -1/8

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