Question

Use a calculator to evaluate the expression. Round your answer to the nearest hundred thousandth. $$(1.1)^{-2}$$

Short answer

The expression \((1.1)^{-2}\) evaluates to approximately 0.826446 when rounded to the nearest hundred thousandth.

Step-by-step solution

Raise 1.1 to the 2nd power

Use your calculator to square the number 1.1. You should get a result of 1.21.

Take the reciprocal of the result

Now take the reciprocal of 1.21 which means divide 1 by 1.21. This would give an answer of approximately 0.826446281.

Round to the nearest hundred thousandth

As per the question, round the result to the nearest hundred thousandth. The hundred thousandths place is the 6th digit after the decimal. So, the result is rounded off to 0.826446.