Which of the following is equivalent to 6^−2

Question

?(1 point)
Responses

36
36

16−2
Start Fraction 1 over 6 superscript negative 2 baseline End Fraction

136
Start Fraction 1 over 36 End Fraction

126
Start Fraction 1 over 2 superscript 6 baseline End Fraction
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Answer 1

To find an expression equivalent to \( 6^{-2} \), we can use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \).

Using this property:

\[ 6^{-2} = \frac{1}{6^2} \]

Calculating \( 6^2 \):

\[ 6^2 = 36 \]

Thus,

\[ 6^{-2} = \frac{1}{36} \]

So the equivalent expression to \( 6^{-2} \) is:

\[ \frac{1}{36} \]

Therefore, the correct response is:

\(\frac{1}{36}\).