Exponent Rules
Exponent Rules Algebra 1 Multiplication
When multiplying, we first multiply the coefficients and then add the exponents of similar bases while the bases stay the same. For example, when multiplying x^2 * x^3, the result is x^(2+3) = x^5.
Dividing Exponents
When dividing, we first divide the coefficients and then subtract the exponents of similar bases while the bases stay the same. For example, when dividing x^5 by x^3, the result is x^(5-3) = x^2.
Adding/Subtracting Exponents
When adding or subtracting, we add or subtract the coefficients of similar bases with the same exponent. The exponents don't change, and the bases stay the same. For example, when adding x^3 + x^3, the result is 2x^3.
Negative Exponent Rule
When dealing with negative exponents, we represent the inverses/reciprocals. Negative exponents must be represented as a reciprocal and converted to a positive exponent in solutions.
Laws of Exponents with Examples
It's important to manipulate exponents in order to add or subtract. For example, 10^4 * 10^5 = 10^(4+5) = 10^9. Similarly, 10^6 / 10^3 = 10^(6-3) = 10^3.
Understanding the exponent rules is essential for solving problems involving variable bases, as well as problems involving scientific notation. By practicing problems related to these exponent rules, such as the Exponent Rules Algebra 1 worksheet and the Laws of Exponents worksheet, one can improve their understanding and mastery of this fundamental concept in algebra.
