Question

Which of the following is equivalent to 36 Superscript negative one-half?

Answer 1

Answer:

1/6

Step-by-step explanation:

Answer 2

According to the law of indices$a^{-\frac{1}{n} }=\dfrac{1}{\sqrt[n]{a} }$. The resulting value of the indices expression is 1/6

Negative exponents

According to the law of indices as shown below

$a^{-\frac{1}{n} }=\dfrac{1}{\sqrt[n]{a} }$

Given the indices expression

$36^{-\dfrac{1}{2} }$

Applying the law of indices above:

$36^{-\frac{1}{2} }=\frac{1}{\sqrt{36} }$

Since the square root of 36 is equivalent to 6, hence;

$36^{-\frac{1}{2} }=\frac{1}{\sqrt{36} }=\frac{1}{6}$

Hence the resulting value of the indices expression is 1/6

Learn more on indices here: https://brainly.com/question/10339517

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