Question

Which of the following best defines 3^2/3? (New Question at the Bottom)

Square root of 9
Cube root of 9
Cube root of 3
Square root of 3

Answer 1

@pooja195

Answer 2

\[\huge 3^{2/3} \implies \sqrt[3]{3^2}\]

Answer 3

The general rule \[\huge x^{\frac{ m }{ n }} =\sqrt[n]{x^m}\]

Answer 4

Right, then what?

Answer 5

What does \[\sqrt[3]{3^2 }\] mean?

Answer 6

Or lets do this step by step what is \[\large 3^2\]

Answer 7

Uh, do you multiply 3 x 2?

Answer 8

Oh my bad.

It's 9

Answer 9

No, these are exponents the number in the exponent implies how many times you're multiplying it by it self, so \[x^1 = x\]\[x^2 = x \times x\]\[x^3 = x \times x \times x\]

Answer 10

Right!

Answer 11

So now we have \[\large \sqrt[3]{9}\]

Answer 12

Note a square root is \[\huge \sqrt{x}\] so what does \[\huge \sqrt[3]{x}\] mean

Answer 13

\[\sqrt{x} = x^{1/2}~~~~~~\sqrt[3]{x} = x^{1/3}\]

Answer 14

I'm not really sure,

Answer 15

Well a square root is just \[\huge \sqrt{x} = x^{1/2}\] and a quad root is \[\huge \sqrt[4]{x} = x^{1/4}\] there's a pattern going on think you notice it yet?

Answer 16

\[\huge \sqrt[3]{x} = x^{1/3}\] what is this called?

Answer 17

Look at your options if you have to

Answer 18

Is it a cube root?

Answer 19

Yes!

Answer 20

So that leaves me to either B or C

Answer 21

Think about it, we already did the first part so we have \[\huge \sqrt[3]{9}\]

Answer 22

Emm, is it B?

Answer 23

Sounds good..

Answer 24

Cool thanks! You think you can help me with another?

Answer 25

Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.

Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days.

Part B: Write the equation obtained in Part A using function notation.

Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.

Answer 26

... Or I can just close this question and open another...