Question

Evaluate the following expression. (6)^-2

Answer 1

Use Negative Power Rule: {x}^{-a}=\frac{1}{{x}^{a}}x​−a​​=​x​a​​​​1​​
\frac{1}{{6}^{2}}​6​2​​​​1​​
2 Simplify {6}^{2}6​2​​ to 3636
\frac{1}{36}​36​​1​​
Done

Decimal Form: 0.027778

Answer 2

Answer:

$\frac{1}{36}$

Step-by-step explanation:

The given expression is $6^{-2}$

We can use the exponent property to simplify this expression.

Rule: $x^{-a}=\frac{1}{x^a}$

Applying this rule, we get

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

On simplifying the denominator

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

Therefore, the simplified expression is $\frac{1}{36}$