दम्भो दर्पोऽभिमानश्च क्रोध: पारुष्यमेव च |अज्ञानं चाभिजातस्य पार्थ सम्पदमासुरीम् ||

Rational (Fractional) Exponents

Rational (Fractional) Exponents

Rational (fractional) exponents are an alternate way to express roots

Rational-Exponents-1

Notice:   The denominator of the rational exponent becomes the index of the radical, and the numerator becomes the exponent of the radicand (expression inside the radical).

Rational-Exponents-2

We have already discussed simplifying radicals such as:

Rational-Exponents-3

Let’s look at these two problems in a new light! When asked to simplify these radicals, it is often easier to rewrite the radicals using rational exponents and solve the problems by dealing with the laws of exponents.

Notice how applying the rules for dealing with the exponents makes quick work of the variable

Rational-Exponents-4

Look at these examples:

Rational-Exponents-5

When dealing with rational exponents, the Rules for Exponents are still valid!!!

Rational-Exponents-6

Rational-Exponents-7

Check out how these problems are done using rational exponents:

Rational-Exponents-8

Share this article
Shareable URL
Prev Post

Slogans on Newspaper

Next Post

World Student’s Day

Leave a Reply
Read next
0
Share