Question

simplify
√x^36 y^64

Answer 1

does it say what x and y stand for

Answer 2

no

Answer 3

are there answer choices?

Answer 4

a. x^18 y^32

b. x^18 y^4

c.x^6 y^32

d. x^6 y^4

Answer 5

you can look at the equation in a simpler form to start with:

\[\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}\]

so your equation can be written as

\[\sqrt{x ^{36}} \times \sqrt{y ^{64}}\]

Answer 6

I assume you are studying indices

do you know how to write squareroot as an index?

Answer 7

no

Answer 8

\[\sqrt{x} = x ^{\frac{ 1 }{ 2}}\]

do you recognise that?

Answer 9

yes

Answer 10

ok so look at my post above

you have 2 sqareroots - but you can write them like I did above with an index like this:

\[(x ^{36})^{\frac{ 1 }{ 2 }} \times (y ^{64})^{\frac{ 1 }{ 2}}\]

NOw you need to use what you know about indices to simplify that....

Answer 11

ok

Answer 12

\[(x ^{a})^{b} =x ^{a \times b}\]

use that on the 2 terms above

(This is the last stage - you need to do it yourself)

Answer 13

i still dont get it

Answer 14

Are you studying indices ?