Problem 5
Question
Approximate each number using a calculator. Round your answer to three decimal places. $$4^{-1.5}$$
Step-by-Step Solution
Verified Answer
The approximate value of \(4^{-1.5}\), rounded to three decimal places, should be the final result.
1Step 1: Understand the Problem
The problem is to find the value of \(4^{-1.5}\) and then round off the solution to three decimal places.
2Step 2: Calculating the Exponent
Plug the base number (4) and the exponent (-1.5) into the calculator to find \(4^{-1.5}\).
3Step 3: Round to Three Decimal Places
After calculating, take the output and round it off to three decimal places. If the fourth decimal is greater than or equal to 5, increase the third decimal by one. If it is less than 5, leave the third decimal as it is.
Other exercises in this chapter
Problem 5
Use properties of logarithms to expand logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
View solution Problem 5
Write each equation in its equivalent exponential form. $$5=\log _{b} 32$$
View solution Problem 6
Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$3^{2 x+1}=27$$
View solution Problem 6
Use properties of logarithms to expand logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
View solution