Which expression is equivalent to 5y^3/(5y)^-2

a. y^5
b. y^6
c.125y^3
d.125y^5

D.125y^5

Step-by-step explanation:

5y^3/(5y)^-2

= 5y^3 * (5y)^2

= 5^(1 + 2) * y^(3+2)

= 5^3 y^5

= 125y^5

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.