Answer:
1/6
Step-by-step explanation:
Negative one half power is the reciprocal of the square root, 1/6
The equivalent expression for 36 superscript negative one-half is one-sixth or [tex](36)^{\frac{-1}{2} } =\frac{1}{6}[/tex].
A mathematical expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Equivalent expressions are expressions that work the same even though they look different.
According to the given question.
We have a statement " 36 superscript negative one haft".
The mathematical expression for the above statement is [tex](36)^{\frac{-1}{2} }[/tex].
The above mathematical expression can be written as
[tex](36)^{\frac{-1}{2} } =\frac{1}{\sqrt{36} }[/tex]
Therefore, the equivalent expression for [tex](36)^{\frac{-1}{2} }[/tex] is given by
[tex](36)^{\frac{-1}{2} } =\frac{1}{\sqrt{36} } =\frac{1}{\sqrt{(6)(6)} } =\frac{1}{6}[/tex] ( because [tex]\sqrt{x^{2} } =x[/tex])
Hence, the equivalent expression for 36 superscript negative one-half is one-sixth or [tex](36)^{\frac{-1}{2} } =\frac{1}{6}[/tex]
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