The period (in seconds) of a pendulum with a length of
(in meters) is given by the formula
This concept is very similar to the previous two. When solving a rational exponent equation, isolate the variable. Then, to eliminate the exponent, you will need to raise everything to the reciprocal power.
= 9 is a solution to
Solution: Substitute in x and see if the equation holds.
9 is a solution to this equation.
First, divide both sides by 3 to isolate
To undo the three-fourths power, raise everything to the four-thirds power.
Intro Problem Revisit
We need to plug 156.8 in to the equation
Solve the following rational exponent equations and check for extraneous solutions.
1. Divide both sides by 8 and raise everything to the three-halves power.
2. Here, only the
Determine if the following values of
are solutions to the equation
Solve the following equations. Round any decimal answers to 2 decimal places.