13 - Exponent Rules of Algebra (Laws of Exponents, How to Multiply & Add Exponents)

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In this lesson you will learn how to simplify expressions that involve exponents. First we will review the exponent laws, which tells us when we can add exponents together and when we can multiply exponents.
Next, we will practice simplifying expressions that involve exponents by applying the power rules and exponent laws of algebra.

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names of the laws law of negative exponent = x^-n = (1/x)^n product of powers = x^m×x^n = x^m+n power of power =(x^m)^n = x^m×n Power of product =(xy)^m = x^m × x^y Quotient of power =(x^m/x^n = x^m-n) fractional exponent =x^m/n = n^radical am

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Can you please help me write in non-fractional form x+3/x? (This is in the laws of exponent chapter). I would truly appreciate your help.

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ok so the base numbers are different but the base variables are the same 768 v^4 x^2/36 v^2 x^6 What do you do with the 768 and 36

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Can this be said in reverse too? Like if I were to undo an equation? For example, I want to undo 3^2x to 3^x^2.

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Welcome! Jason, MathAndScience.com