Welcome to GreeneMath.com, your source for free math help!

Exponents with a Negative Base Test #4

In this Section:



In this section, we learn how to evaluate an exponential expression when the base is negative. When this occurs, there are two very different scenarios. In the first case, if the negative number is wrapped inside of parentheses, then the negative part and the whole number part are both raised to the power. In the case where the negative number is not wrapped inside of parentheses, the negative part is not part of what is raised to the power.
For example (-2)2 is (-2) • (-2) = 4. In the case of -22, this is -1 • 22 = -1 • 2 • 2 = -4.
Sections:

In this Section:



In this section, we learn how to evaluate an exponential expression when the base is negative. When this occurs, there are two very different scenarios. In the first case, if the negative number is wrapped inside of parentheses, then the negative part and the whole number part are both raised to the power. In the case where the negative number is not wrapped inside of parentheses, the negative part is not part of what is raised to the power.
For example (-2)2 is (-2) • (-2) = 4. In the case of -22, this is -1 • 22 = -1 • 2 • 2 = -4.