WARM UP. Essential Question: How do you solve equations with exponents and radicals? SOLVING EQUATIONS WITH EXPONENTS AND RADICALS.

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Presentation transcript:

WARM UP

Essential Question: How do you solve equations with exponents and radicals? SOLVING EQUATIONS WITH EXPONENTS AND RADICALS

 The inverse of an exponent is its matching root.  When matching an exponent with its matching root, they will cancel. HOW ARE EXPONENTS AND RADICALS CONNECTED?

 Step 1:  Isolate the variable (move numbers not attached to the variable)  Step 2:  Eliminate co-efficients (Move numbers attached to the variable)  Step 3:  Simplify STEPS OF SOLVING AN EQUATION

 To eliminate an exponent from a variable, you must use its matching root.  If it’s an odd exponent, there is 1 solution. If it’s an even exponent, there are 2 solutions. SOLVING EQUATIONS WITH EXPONENTS

EXAMPLE

 How do you solve an Equation with an Exponent?

 To eliminate a root, you must use its matching exponent.  There is only one solution when solving equations with roots. SOLVING EQUATIONS WITH ROOTS

EXAMPLE

 How do you solve an Equation with a Root?