The index of a radical is the denominator of a fractional exponent, and vice versa. If you think about the rules of exponents, you know this must be so.

For example, consider the cube root:

$\sqrt[3]{x}\cdot \sqrt[3]{x}\cdot \sqrt[3]{x}=(\sqrt[3]{x})^3=x\\\\(x^{\frac{1}{3}})^3=x^{\frac{3}{3}}=x^1=x$

That is ...

$\sqrt[3]{x}=x^{\frac{1}{3}} \quad\text{radical index = fraction denominator}$

3 0

3 years ago

Arlene is comparing the prices of two truck rental companies. Company A charges $7 per hour and an additional $30 as service cha

Valentin [98]

Answer:

Part A: 7n + 30= -5 and 8n + 40= 16

Part B: 7(8) + 30= 86 and 8(8) + 40= 104

Part C: Company A saves you 12.

Step-by-step explanation:

Company A: 7n + 30

Company B: 8n + 40

7n + 30= -5 8n + 40= 16

7(8) +30= 86 8(8) +40= 104

7(2) + 30= 44 8(2) + 40= 56

56 - 44= 12

7 0

3 years ago

I need help graphing this and solving the problem

erma4kov [3.2K]

Answer: Just put the numbers of the x and y coordinates onto the graph and draw a line.

Step-by-step explanation:

Uh I'm not sure how to graph online but just do that and your teacher should be good with it!

8 0

3 years ago