multiple equations and word problems?

Question

^(number) is exponent. 

x^2 = 1/9
x^3 = 1/27
x^2 = 1/16
x^3 = 8/27
n x n = 729

Area of square is 81in^2. What is length of side of the square?

The volume of a cube is 27in^3. What is the length of an edge of the cube?

The volume of a cube is 64in^3. What is the length of an edge of the cube?

The volume of a cube is 231 cubic inches. What is the length of an edge of the cube? 

A rug in the shape of a square has an area of 150 square feet. Which is closest to the length of each side? 12 ft, 14 ft, 13 ft, 15 ft?

3^9 x 3^-5 =
5^-13 x 5^-4
10^3 x 10^-4
10^13 x 10^-6

rewrite as single exponent 5^13 x 5^-4

3/4x - 3/8 = 4
2/3(x+-4)=3(x+3/5)

2.5(x+2)+4.5+1.5(x-3)=15

Answer 1

x^2=(1/9), so x=(1/3)

x^3=(1/27), so x=(1/3)

x^2=(1/16), so x=(1/4)