The expression equivalent to
is
.
Further explanation:
The expression is given as
.
Now, the above expression is simplified as follows:

Now, the power rule for rational exponent is given below.
The expression
equivalent to expression
that is
.
In the expression
, the value of
and
.
The simplified form of the expression
as follows:

From the exponent rule
, the above expression is evaluated as follows:

Therefore, the expression equivalent to
is
.
Now, the four options are given below.

Here, OPTION A is
.
The simplified form of OPTION A
is given below.

The above solution
of the expression
does not matches with the obtained solution
.
The simplified form of OPTION B
is given below.

The above solution
of the expression
does not matches with the obtained solution
.
The simplified form of OPTION C
is given below.

The above solution
of the expression
does not matches with the obtained solution
.
OPTION D is given as
and it matches with the obtained solution
.
From above four options, the expression equivalent to
is
.
Thus, the expression equivalent to
is
.
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Answer Details:
Grade: Junior High School
Subject: Mathematics
Chapter: Exponents and expressions
Keywords:expression, exponent, power exponent, equivalent, match, options,
,