Question

Which of the following best defines 2 to the power of 2 over 3?

Cube root of 4

Square root of 4

Cube root of 2

Square root of 2

Answer 1

2 to the power of 2 over 3 \(\Large = 2^{2/3} = \sqrt[3]{2^2}\)

Answer 2

????????

Answer 3

@geerky42 i dont understand

Answer 4

Do you understand that part: 2 to the power of 2 over 3 \(\Large =2^{2/3}\) ?

Answer 5

yes

Answer 6

well, \(\Large 2^{2/3} = \left(2^2\right)^{1/3} = \sqrt[3]{2^2}\)

if you have fraction exponent, you can rewrite it as root, for example: \(\Large x^{1/n} = \sqrt[n]{x}\)

does that make sense?

Answer 7

yea

Answer 8

so which is answer?

Answer 9

c

Answer 10

d i mean

Answer 11

?

do you know what \(\large 2^2\) is?

Answer 12

4

Answer 13

yes so \(\Large \sqrt[3]{2^2}=\sqrt[3]{4}\)

Do you know what \(\Large \sqrt[3]{~~}\) is called?

Answer 14

cubed

Answer 15

you are thinking of \(\Large ~^3\).

\(\Large\sqrt[3]{~~}\) is called cube root.

Answer 16

So \(\Large\sqrt[3]{4}\) can be read as "Cube root of 4"

is that clear?

Answer 17

ok yea very clear

Answer 18

thx