Exponents are written in superscript and basically refer to repeated multiplication. An understanding of distributing exponents is necessary for algebra courses, trigonometry, calculus and more advanced mathematics courses. The following explanation will use the example problem of ((6+3)x ^1/2 + 4y^2 + z^0)^3.
Things You'll Need
Simplify operations that are within parentheses. In the example, add the 6 and 3. This results in (9 x ^1/2 + 4y^2 + z^0)^3.
Simplify the exponents within the parentheses. In this example, the z^0 can be simplified to 1, since any value to the zero power equals 1. The result is (9x^(1/2) + 4y^2)^3.
Distribute the exponents outside of the parentheses to the inside terms. In this example, the exponents are distributed as follows: 9^3 x^(1/2 3) + 4^3 y^(2 3). The 9^3 can be simplified by multiplying the 9 by itself 3 times, which results in 729, and the 4 by itself 3 times, which results in 64. The final result is 729x^(3/2) + 64y^6.
- Photo Credit Photos.com/AbleStock.com/Getty Images
How to Use Parentheses Correctly
Writers use parentheses to include additional information that would impede continuity without this separation. Parentheses can enclose additional details, an aside to...
How to Do Exponents Outside of the Parenthesis
Parentheses are used in mathematical equations for grouping. By grouping the symbols, the parentheses tell what order to apply the mathematical symbols....
How to Do Fraction Exponents
Solving math equations that contain fraction exponents is often a necessary task in high school and college algebra classes. You can handle...
How to Distribute Exponents With Fractions
One of the key concepts in mathematics is the order of operations. The order of operations dictates the sequence in which different...