Question

Help with the cube root!

Answer 1

\[\sqrt[3]{0.008y^3x^6}\]

Answer 2

would it be 0.002yx^2?

Answer 3

the second half is right, because:
\[yx^2 * yx^2 * yx^2 = y^3x^6 \]

however, the constant is wrong because:
\[0.002^3 < 0.008\]

Answer 4

remember, when you multiply a number less than 1 by itself, the number is even smaller.

Answer 5

so you know that the constant has to be higher than 0.008, but less than 1.

Answer 6

Ok. so would it be .2?

Answer 7

well, with a calculator you'll find that:
\[\sqrt[3]{0.008} \approx 0.126\]

Answer 8

But .2 * .2 is .04, right? and then .04 * .2 is .008?

Answer 9

omg, I'm sorry, lol... I was finding the cubed root of 0.002... my bad.

Answer 10

yes, the cubed root of 0.008 = 0.2

Answer 11

so, it's 0.2yx^2

Answer 12

ok. THANK YOU!