Question

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

Answer 1

Perform the calculations as follows.

1. $40y^{-1}, \, y=5.2$
 = 40*y = 40*5.2
 = 208

2. $\frac{1}{m^{-2}} (m+4),\, m=-8$
 = 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. $\frac{(x-1)^{-2}}{(x+1)^{-2}}, \, x=2.5$
 $= \frac{(x+1)^{2}}{(x-1)^{2}}$
 = 3.5²/1.5²
 = 5.444

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