Question

Any rational exponents

Answer 1

\[5^{1/3}*50^{1/3}\]

Answer 2

Multiply each side by \[3\]

Answer 3

\[5*50=250\]

Answer 4

@Hero

Answer 5

What do you mean "each side". Multiplying by each side only applies to equations.

Answer 6

Ehhh... multiple both exponents by 3

Answer 7

Anytime you post a problem, always include the exact instructions from your text.

Answer 8

“Simplify each expression without any rational exponents”

Answer 9

Well, first off, you can easily just re-write the expression as:
\\((5 \cdot 50)^{1/3}\) by way of this rule:
\(a^{x}b^{x} = (ab)^x\)

Answer 10

\[250^{1/3}\]

Answer 11

Yep, but now you have to reduce it until there is no rational exponent

Answer 12

\[250/3\]?

Answer 13

I wonder why you are so confused now on what to do with the 3 in the denominator of the exponent even though I showed you the rule: \(\sqrt[n]{a^b} = a^{b/n}\)

Answer 14

Been a stressful day... spent 4 hours talking to social workers.. my nerves are shot.

Answer 15

Can you screenshot the instructions again. As currently written it is not possible to reduce the expression and completely eliminate the fractional exponent.

Answer 16

Well, you can always convert the remaining fraction to a root.

Answer 17

\[\sqrt[3]{50}\]

Answer 18

Don't know why you changed 250 to 50

Answer 19

What that your intention or is that more remnants of the stressful day?

Answer 20

More remnants I’m afraid... didn’t even notice.

Answer 21

\[\sqrt[3]{250}\]

Answer 22

Okay, now you have to factor until you find a cube as a factor of 250.

Answer 23

\[5\sqrt2\]

Answer 24

Skipping steps lead to wrong answers.

Answer 25

Doesn’t seem right

Answer 26

Definitely not correct.

Answer 27

I didn’t skip steps.. did wrong steps..

Answer 28

Explain how you even got to that in the first place.

Answer 29

Factoring down...

Answer 30

Show your work before you post a possible end result

Answer 31

I want to see what you did explicitly every time.

Answer 32

I don’t even know what I am doing right now..

Answer 33

Factor 250 until you find a cube:
(1)(250)
(2)(125) (125 is a cube so:)
\((2)(5^3)\)

Answer 34

That's the steps you should be posting

Answer 35

(25)(10) is not the correct 1st step when factoring to find cubes and m's and n's

Answer 36

If you start with (25)(10) you may never find the cube

Answer 37

I didn’t.

Answer 38

I gave you a huge hint.

Answer 39

At this point you should have
\(\sqrt[3]{(2)(5)^3}\)

Which of course breaks down to
\(\sqrt[3]{2}\sqrt[3]{5^3}\)

And that simplifies to just
\(5\sqrt[3]{2}\)

Answer 40

I’m so done...

Answer 41

Literally about to cry..

Answer 42

For what reason?

Answer 43

Life...

Answer 44

I’ll be back.