Question

what is the square root of 81x to the 6th power, y to the 3rd power?

Answer 1

what is square root of 81??

Answer 2

\[\sqrt{(81x)^6 \cdot y^3}\]??

Answer 3

No its Square root of 81X to the 6th Power Y to the 3rd Power?

Answer 4

\[\sqrt{81 \cdot x^6 \cdot y^3}\]

Answer 5

Use the equation button below and write what is your question??

Answer 6

@ Cashmere, that is correct without the multiplication signs in between.

Answer 7

LOLOL :D

Answer 8

When you don't write anything between them it means multiplication by default

Answer 9

xy = x.y

Answer 10

The multiplication sign is inferred to be there.

Let's break it up, by the distributive property. \[\sqrt{81} \sqrt{x^6} \sqrt{y^3}\]

You know what the square root of 81 is.

Remember that\[\sqrt{x} = x^{1/2}\]Hence, we get\[x^{6/2}\] and \[y^{3/2}\]

Putting it all back together, we get\[9x^{6/2} y^{3/2}\]

What is 6/2?

Answer 11

3

Answer 12

Exactly. So when what is the exponent on x?

Answer 13

3

Answer 14

Exactly. So then our final expression would be?