SOLVING EQUATIONS WITH RATIONAL EXPONENTS

To solve equations with rational exponents, we will follow the steps given below.

Step 1 :

Using inverse operations isolate the variable in one side and numerical value to the other side.

Step 2 :

When we move the exponent to the other side, it can be turned into its reciprocal.

Solve.

Problem 1 :

Solution:

Raise power 2 on both sides,

Problem 2 :

Solution:

Raise power 3 on both sides,

Problem 3 :

Solution :

Moving the power to the other side, we get

To get rid of the negative exponent, we take reciprocals on both sides.

Problem 4 :

Solution :

Problem 5 :

Solution :

Moving the power to the other side.

Problem 6 :

Solution :

Writing 16 in exponential form, we get

Problem 7 :

Solution :

Since we have negative inside the square root, it has no solution.

Problem 8 :

Solution :

Problem 9 :

Solution :

Problem 10 :

Solution :

Problem 11 :

Solution :

Problem 12 :

Solution :

Problem 13 :

Solution :

Problem 14 :

Solution :

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