Problem 1
Question
Approximate each number using a calculator. Round your answer to three decimal places. $$2^{3.4}$$
Step-by-Step Solution
Verified Answer
The answer after calculation and rounding off to three decimal places is 10.079.
1Step 1: Enter the Expression into the Calculator
Start by entering the expression \(2^{3.4}\) into the calculator. This means '2 raised to the power 3.4'.
2Step 2: Calculate the Value
After entering the expression into the calculator, find the value of the expression. The calculator will do the calculation and provide the result.
3Step 3: Round Off to Three Decimal Places
Take the value calculated by the calculator and round it off to the nearest three decimal places. This is done by looking at the fourth decimal place; if it's 5 or more, increase the third decimal by one. If it's less than 5, leave the third decimal as it is.
Other exercises in this chapter
Problem 1
Use properties of logarithms to expand logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
View solution Problem 1
Write each equation in its equivalent exponential form. $$4=\log _{2} 16$$
View solution Problem 2
Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$3^{x}=81$$
View solution Problem 2
Use properties of logarithms to expand logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
View solution