How do you evaluate a negative base?

Sign rules for Evaluating an Exponent with a Negative Base

1. When the base is (-), and enclosed inside of parentheses: The result is (+) if the exponent is even. The result is (-) if the exponent is odd.
2. When the base is (-), and not enclosed inside of parentheses: The result is always (-)

What is a negative base with a negative exponent?

Negative numbers with exponents If the base is negative and the exponent is an even number, the final product will always be a positive number. If the base is negative and the exponent is an odd number, the final product will always be a negative number.

Why is a negative number to the second power a negative?

When we calculate an exponent of a negative number, then the result depends on the power of the number. If it is odd, then the result is negative. Here, we know that 2 is even. Hence, any negative number to the power of 2 is positive.

How do you multiply negative exponents with different bases?

Multiplying exponents with different bases First, multiply the bases together. Then, add the exponent. Instead of adding the two exponents together, keep it the same.

Can a negative number raised to a negative power ever be positive?

Statement is false. Result can be negative or positive it depends from the base and exponent. Very important to remember, if exponent is negative number, that base can’t be zero.

Is a negative to the 2nd power a positive?

Answer: The negative number to the power 2 is always a positive number. Let’s understand the solution. Explanation: When we calculate an exponent of a negative number, then the result depends on the power of the number.

Do you add or multiply exponents when multiplying?

When you’re multiplying exponents, use the first rule: add powers together when multiplying like bases. 52 × 56 = ? The bases of the equation stay the same, and the values of the exponents get added together.

How do you solve an equation with a negative exponent?

A trick to solve negative exponent is to make a fraction. Put one on the top and put your base on the bottom. Your base should be to the power of the exponent except make sure to do it without the negative sign. Let’s try this with 2^-3.

How do you multiply negative exponents?

Multiplying negative exponents. For exponents with the same base, we can add the exponents: a -n ⋅ a -m = a -(n+m ) = 1 / a n+m. Example: 2 -3 ⋅ 2 -4 = 2 -(3+4) = 2 -7 = 1 / 2 7 = 1 / (2⋅2⋅2⋅2⋅2⋅2⋅2) = 1 / 128 = 0.0078125.

How do you evaluate expression with exponents?

When you evaluate expressions with exponents it is important to distinguish the base from the exponent. The exponent tells us how many times to multiply the base by itself. The expression is read as x to the a power. For example x 4 = x •x •x •x. read as x to the 4 th power.

What are the operations with exponents?

Exponents are shorthand for repeated multiplication. The rules for performing operations involving exponents allow you to change multiplication and division expressions with the same base to something simpler. Remember that in xa the x is the base and the “a�? is the exponent.