Question

Math please help: https://snipboard.io/yVh1YS.jpg

Answer 1

The first expression,
\[\sqrt[4]{x ^{3}}\]
is the same as x^(3/4)
The second expression,
\[\frac{ 1 }{ x ^{-1} }\]
is the same as x^(-1*-1), which is the same as x
The third expression,
\[\sqrt[4]{x ^{5}*x ^{4}*x ^{2}}\]
is the same as x^[(5+4+2)/10]
The fourth expression,
\[x ^{1/3}*x ^{1/3}*x ^{1/3}\]
is the same as x^(1/3+1/3+1/3), which is the same as x

So, which of the choices are equivalent?

Answer 2

B and D are equivalent but i need a step by step breaking down of how you get x for the second expression pls

Answer 3

Ok, no problem.
For the second expression
\[\frac{ 1 }{ x ^{-1} }\]
\[ x ^{-1} \]
is equivalent to
\[\frac{ 1 }{ x }\]
This is a rule of exponents. So,
\[\frac{ 1 }{ x ^{-1} }\]
can also be written as
\[\frac{ 1 }{ 1/x}\]
and 1/(1/x) is the same as x

Answer 4

Ok thank you

Answer 5

No problem :)
If you no longer need help for this question, please remember to close it before you go!

Answer 6

Yessir

Answer 7

Thanks :)