Which of the following expressions is equal to 5^6/5^2?
a. 5 • 5 • 5 • 5
b. 5 • 5 • 5
c. 1/5*5*5*5
d. 3

A Power is a short way to represent repeated multiplication. The power includes a base and an exponent. The base is the number that is multiplied. The exponent is the number of times the base is multiplied.

Note: The power of a negative base is positive if the exponent is even, and negative if the exponent is odd.   

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2