This is a free lesson from our course in Algebra II
In this lesson you'll explore how to simplify the expression with exponents.
You will find some examples
with solution, and the instructor explains all that with the help of audio, video
presentation and in own hand writing. In general, to simplify , first simplify each term according to multiplication, division, distribution, and rules of exponents. Then, combine like terms and arrange the terms, putting those with variables first, in order of highest exponent.
For example:Simplify (6x)^{2} + (x ^{3})^{2} + (2x)(2x^{3}).
Steps are as follows:
(6x)^{2} + (x ^{3})^{2} + (2x)(2x^{3})
= 6^{2}x ^{2} + x ^{3(2)} + (2)(2)x^{1+3}
= 36x^{2} + x^{6} +4x^{4}
= x ^{6} +4x^{4} +36x^{2}.
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