An exponent is a mathematical notation that represents the number of times a base number is multiplied by itself. It is usually written as a superscript to the right of the base number.
To simplify an expression with exponents, you can use the exponent rules. These rules include multiplying exponents with the same base by adding their powers, dividing exponents with the same base by subtracting their powers, and raising a power to another power by multiplying the powers. You can also use the order of operations to simplify expressions with multiple operations.
A positive exponent indicates that the base number should be multiplied by itself the number of times specified by the exponent. A negative exponent, on the other hand, indicates that the base number should be divided by itself the number of times specified by the exponent. For example, 23 = 2 x 2 x 2 = 8, while 2-3 = 1 / (2 x 2 x 2) = 1/8.
Any number raised to the power of zero is equal to 1. This means that any expression with a base number raised to the power of zero can be simplified to 1. For example, 50 = 1 and (2x + 3)0 = 1.
Yes, you can. A negative base with an even exponent will result in a positive answer. This is because when multiplying a negative number by itself an even number of times, the negative signs will cancel out and the resulting number will be positive. For example, (-3)4 = (-3) x (-3) x (-3) x (-3) = 81.