The period (in seconds) of a pendulum with a length of L (in meters) is given by the formula
Solving Rational Exponent Equations
When solving a rational exponent equation, you first isolate the variable. Then, to eliminate the exponent, you will need to raise everything to the reciprocal power.
Let's determine if x = 9 is a solution to
Substitute in x and see if the equation holds.
9 is a solution to this equation.
Now, let's solve the following equations for x.
First, divide both sides by 3 to isolate
To undo the three-fourths power, raise everything to the four-thirds power.
Earlier, you were asked to verify the length of the pendulum.
We need to plug 156.8 in to the equation
Solve the following rational exponent equations and check for extraneous solutions.
Divide both sides by 8 and raise everything to the three-halves power.
Here, only the
Determine if the following values of x are solutions to the equation
x=32 x=−32 x=8
Solve the following equations. Round any decimal answers to 2 decimal places.
2x32=54 3x13+5=17 (7x−3)25=4 (4x+5)12=x−4 x52=16x12 (5x+7)35=8 5x23=45 (7x−8)23=4(x−5)23 7x37+9=65 4997=5x32−3 2x34=686 x3=(4x−3)32
Answers for Review Problems
To see the Review answers, open this PDF file and look for section 7.9.