Question

Can anyone help? Write 4 square root a^3b in exponential form?

Answer 1

this?

\[\Large \sqrt[4]{a^3b}\]

Answer 2

Yes!

Answer 3

Rule:

\[\Large \sqrt[n]{x^m} = (x^m)^{1/n}\]

Answer 4

so that allows us to simply say

\[\Large \sqrt[4]{a^3b} = (a^3b)^{1/4}\]

we could go further and rearrange terms but it's in exponential form which is probably what your book wants

Answer 5

I guess you could add this on

\[\Large \sqrt[4]{a^3b} = (a^3b)^{1/4}= a^{3/4}b^{1/4}\]

(notice I multiplied the outer exponent by each inner exponent)

but it's not really necessary

Answer 6

Thank you so much for the help. Could you help me with one more?

Answer 7

sure

Answer 8

Simplify 3 square root 2 to the second power

Answer 9

so this? \[\Large \sqrt[3]{2^2}\]

Answer 10

Yes, and it's in parenthesis

Answer 11

try out the rule I gave you and tell me what you get

Answer 12

alternatively, you can compute 2^2 to get 4, then use the rule

Answer 13

tell me what you get