235k views
0 votes
Which is equivalent

Which is equivalent-example-1
User Fanlix
by
8.2k points

2 Answers

7 votes

Answer:

D

Explanation:

Using the rules of exponents


a^(-m)
(1)/(a^(m) )


a^{(1)/(2) }
√(a)

Hence


36^{-(1)/(2) } =
\frac{1}{36^{(1)/(2) } } =
(1)/(√(36) ) =
(1)/(6)

User Sphoenix
by
8.0k points
4 votes

For this case we must find an expression equivalent to:


36 ^ {- \frac {1} {2}}

By definition of power properties we have to:


a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

So, rewriting the expression we have:


\frac {1} {36 ^ {\frac {1} {2}}}=

By definition of power properties we have to:


\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

So:


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

Answer:

Option D

User PatrickJ
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories