Question

What is the expression in radical form?
(3p^3q) 3/4

Answer 1

What part of this problem are you able to do yourself with confidence, and what part do you need help with?

Answer 2

all of it idk i dont understand it

Answer 3

Explain in your own words what you're supposed to do here. Note the following:\[a ^{\frac{ b }{ c }}=\sqrt[c]{a^b}\]

Answer 4

Which one involves a "fractional exponent?"
Which one involves a "radical?"

Answer 5

If you're unsure, why not look up "fractional exponent" and "radical" on the 'Net? You'll be seeing these terms again and again in Algebra.

Answer 6

radical means the "v" sign right?

Answer 7

I get y our drift. Properly written, a radical operator looks like

Answer 8

so you need to convert

(3p^3q) 3/4 into radical form.

I believe you meant
What is the expression in radical form?
(3p^3q) ^(3/4). In other words, the exponent of (3p^3q) is (3/4).

Answer 9

What is the base here? The exponent? The power?

Answer 10

\[In ~a ^{\frac{ b }{ c}}\]

a is the base, b is the power and c is the index of the root.

Answer 11

index of the root?

Answer 12

Can you now name a, b and c in \[(3p^3q) ^(3/4)?\]

Answer 13

"index of the root:" examples:\[\sqrt{x}=\sqrt[2]{x}\]

Answer 14

is the square root. The "index of the root" is 2 here.

Answer 15

\[\sqrt[3]{x}=x ^{\frac{ 1 }{ 3 }}\]

Answer 16

is the "cube root;" the "index of the root" is 3.

And so on.

Answer 17

Can you now name a, b and c in

Can you now name a, b and c in
(3p3q)^(3/4)?