PROPERTIES OF RATIONAL EXPONENTS AND RADICALS

Evaluate the following :

Problem 1 :

Solution :

When we have two or more terms with the same base and they are multiplied, we have to put only one base and add the powers.

Problem 2 :

Solution :

When we have power raised by another power, we have to multiply both the powers.

Problem 3 :

Solution :

Step 1 :

Inside the parenthesis, we have composite numbers. We write these numbers in exponential form.

Step 2 :

Instead of using same powers for both, we can put only one power for all the bases which are multiplied.

Step 3 :

When we have power raised by another power, we have to multiply the powers.

Problem 4 :

Solution :

Problem 5 :

Solution :

Problem 6 :

Solution :

Problem 7 :

Solution :

Problem 8 :

Solution :

Problem 9 :

Solution :

Problem 10 :

Solution :