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

`(1)/(36)`

Explanation:

The given expression is
`6^(-2)`

We can use the exponent property to simplify this expression.

Rule:
`x^(-a)=(1)/(x^a)`

Applying this rule, we get

`6^(-2)\\\\=(1)/(6^2)`

On simplifying the denominator

`(1)/(6^2)\\\\=(1)/(36)`

Therefore, the simplified expression is
`(1)/(36)`