Question

Evaluate the expression

1024^1/5

Answer 1

\[1024^1/5\]

Answer 2

\[\large 1024^{1/5}\] is this it?

Answer 3

yes that is what i need to evaluate. if you could also please explain how you do it i will be thankful and give you a medal :)

Answer 4

Sure thing.

Answer 5

thanks :)

Answer 6

\[\large \sqrt[5]{1024}\]\[\large \sqrt[5]{256 \cdot 4}\]\[\large \sqrt[5]{64 \cdot 4\cdot 4}\]\[\large \sqrt[5]{4 \cdot 4 \cdot 4 \cdot 4 \cdot 4}\] So for every 5 numbers of the same type, only 1 will come out of the square root. Therefore, what will our answer be?

Answer 7

i don't get it. so im not allowed to take all the 4's out from the square root into a 2 only 1 on them?

Answer 8

the number outsideof the square root, "5" tellsyou how many pairs ofthe exact number, inthis case 4, are taken out of the square root.

It's like asking a child to take out 5 pairs of red colored balls from a jar with an infinite amount of different colored balls.

Answer 9

so would the answer be 10, like as if you take out 5 4's and make them each 2 which equals 10?

Answer 10

\[\huge \sqrt[\color{red}5]{4 \cdot 4\cdot 4 \cdot 4 \cdot 4}\] that highlighted portion right there. It's basically asking you for 5 of the same number. The answer would be 4 since for every 5 fours, we take 1 four out from the square root.

Answer 11

OHHHHHH. srry it took so long for me to get it. you were very helpful and patient, thank you! :)

Answer 12

no problem! :)