Question

WILL FAN AND MEDAL


Which of the following choices are equivalent to the expression below? choose all that apply.
x^3/5

A(x^3)^1/5
B (x^5)^1/3
C (5sqrt(x))^3
D (3sqrt(x))^5
E 5sqrt(x^3)
F 3sqrt(x^5)

Answer 1

@dtuniyants

Answer 2

@SolomonZelman

Answer 3

there is a formula. \(\LARGE\color{black}{ \color{blue}{A}^{\color{green}{B}/\color{red}{C}} =(\sqrt[\color{red}{C}]{\color{blue}{A}})^\color{green}{B} }\)

Answer 4

well, it would be same to also say,

\(\LARGE\color{black}{ \color{blue}{A}^{\color{green}{B}/\color{red}{C}} =(\sqrt[\color{red}{C}]{\color{blue}{A}^\color{green}{B}}) }\)

Answer 5

So its a c and d right?

Answer 6

Sorry I mean E

Answer 7

@SolomonZelman

Answer 8

well, it is 5th

Answer 9

5th root.

Answer 10

So yes it's E

Answer 11

And A and C

Answer 12

\(\large\color{black}{ \sqrt[5]{x^3} }\) is correct.

Answer 13

I lost connection, that's why I couldn't post it.

Answer 14

What about a and c

Answer 15

yeah they are also correct.

Answer 16

B D & F are wrong, though...

Answer 17

Ok thank you