Variable expressions with exponents practice use the properties of integer exponents to simplify the expression ( zero power
Any number (except 0) raised to the power of 0 is equal to 1.
For example:
2^0 = 1
5^0 = 1
(-3)^0 = 1
Similarly, any variable (except 0) raised to the power of 0 is also equal to 1.
For example:
x^0 = 1
y^0 = 1
(a^2)^0 = 1
So, if you have an expression with an exponent of 0, you can simplify it to 1.
Example:
3x^0 = 1 (since x^0 = 1)
7y^2z^0 = 7y^2 (since z^0 = 1)
To simplify expressions with exponents, it is necessary to apply the properties of integer exponents. One of the properties is the zero power property, which states that any non-zero number raised to the power of zero equals 1.
Let's consider an example of simplifying an expression using the zero power property:
Expression: x^0
According to the zero power property, any non-zero number raised to the power of zero equals 1. Therefore, in this case, x^0 is equal to 1.
So, the simplified expression is 1.
It's important to note that the zero power property only applies when the base is a non-zero number. If the base itself is zero, then x^0 is undefined.
By using the zero power property, you can simplify variable expressions with exponents that involve zero powers.
To simplify an expression with a zero power, you can use the property that any non-zero number raised to the power of zero is equal to 1. Here's an example:
Simplify the expression: 5^0
To simplify this expression, we can apply the property mentioned above.
5^0 = 1
Therefore, the expression simplifies to 1.