Question

What is the cube root of -729a^9b^6
a_ -9a^3b^2
b_ -9a^2b^3
c_ -8a^3b^2
d_ -8a^2b^3

Answer 1

I can help you. :)

Answer 2

thank you.

Answer 3

So first, do you know what a cube root is?

Answer 4

no

Answer 5

A cubed root would be solved with \[3\sqrt{x} \] so if x were 343, your cubed root would be 7.

Answer 6

For example, the cubed root of 27 is 3 as 3 multiplied by 3 multiplied by 3 is 27.
The cubed root of 8,120,601 is 201, as 201 multiplied by 201 multiplied by 201 is 8,120,601.
The cubed root of 8 is 2.8284271247461900976033774484194 as 2.8284271247461900976033774484194 multiplied by 2.8284271247461900976033774484194 is 8.

Answer 7

Find the cube root of 512
1) Try a number – 5 : 5 times 5 times 5 = 125 (too low)
2) Try another number that is more than 5 – 6 : 6 times 6 times 6 = 216 (too low)
3) Try a number that is more than 6 – 10 – 10 times 10 times 10 = 1,000 (too high)
4) Try a number in between 6 and 10 – 8 – 8 times 8 times 8 = 512 (answer)

Answer 8

so what would the answer to this be? \[3\sqrt{729}\]

Answer 9

Another way is to use a calculator. and cube 729.

Answer 10

Am I going too fast..?

Answer 11

no

Answer 12

Alright good. Do you have a calculator on your pc?

Answer 13

yea

Answer 14

i got 81

Answer 15

81, isn't quite right.

Answer 16

Find view, and click Scientific Calculator.

Answer 17

Then put in 729, and find this button. Then, tell me your answer.

Answer 18

its not on my calculator

Answer 19

Oh..
Anyways, the answer would be 9, but for our question 729 is negative so we'd get -9. Then you have, \[-9a^9b^6\] so then we divide our exponents by 3, leaving us with \[-9a^3b^2\] which one of your answer choices look like that?

Answer 20

the first one

Answer 21

Correct, so that's your answer. :)

Answer 22

thank you!!!!

Answer 23

No problem. :)