Question
Match the expression x^(4)/(9) with the equivalent expression from the choices given below. sqrt [9](x^4) (sqrt (x^4))^9 sqrt [4](x^9) (sqrt (x^9))^4 Choose the correct answer below. (sqrt (x^4))^9 sqrt [4](x^9) (sqrt (x^9))^4
Solution
4.6
(220 Votes)
Lila
Master ยท Tutor for 5 years
Answer
The expression
is equivalent to
, which can also be written as
.In our case,
, we have
and
.Therefore,
.Comparing this with the given options:1.
matches our derived equivalent expression.2.
can be written as
, which is not equivalent to
.3.
can be written as
, which is not equivalent to
.4.
can be written as
, which is not equivalent to
.Thus, the correct equivalent expression is
.Final Answer: The final answer is