# Laws of exponents

In this case, there are no zero powers. Power of a Power When a term that includes variables with exponents is raised to another power, raise the coefficient to that power and multiply each existing power by the second power to find the new exponent. Then, eliminate the bottom variable. This, too, is logical, because one times one times one, as many times as you multiply it, is always equal to one.

## Laws of exponents with integral powers

Change anything raised to the zero power into a 1. Here you see that 52 raised to the 3rd power is equal to Multiply or distribute the exponent outside the parenthesis with every exponent inside the parenthesis, remember that if there is no exponent shown, then the exponent is 1. Negative Exponents To eliminate negative exponents, put the term under 1 and change the exponent so that the exponent is positive. References University of Arizona-The Biology Project: Exponential Functions About the Author Kathryn White has over 11 years of experience tutoring a range of subjects at the kindergarten through college level. Note that the order in which things are moved does not matter. Negative exponents in the numerator get moved to the denominator and become positive exponents. Then, one at a time, add the powers of each variable to make the new powers.

If it's only multiplied one time, then it's logical that it equals itself. Let's go over each rule in detail, and see some examples. Quotient Rule:this says that to divide two exponents with the same base, you keep the base and subtract the powers.

### How many laws of exponents are there

If it's only multiplied one time, then it's logical that it equals itself. Step 6: Raise each coefficient or number to the appropriate power and then simplify or reduce any remaining fractions. Multiplying When multiplying two terms it does not matter if they are like terms , multiply the coefficients together to get the new coefficient. In this case, the product rule does not apply. Only move the negative exponents. Negative Exponents To eliminate negative exponents, put the term under 1 and change the exponent so that the exponent is positive. If the higher power is in the denominator, put the difference in the denominator and vice versa, this will help avoid negative exponents.

For example, 5y3 - 7y3 would simplify to -2y3.

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