Name the property that is demonstrated by the example.
1. (2x)^3=2^3*x^3=8x^3
I am not sure what to put
a+b=b+a
The property demonstrated by the example is the power of a product property.
To explain how to get the answer, let's break it down step by step:
1. Start with the expression (2x)^3. This means we have a binomial expression (2x) raised to the power of 3.
2. According to the power of a product property, we can distribute the exponent to each factor inside the parentheses. In this case, we distribute the exponent 3 to both 2 and x.
3. (2x)^3 becomes 2^3 * x^3. The base 2 is raised to the power of 3, and the base x is also raised to the power of 3.
4. Simplifying the exponents, 2^3 is equal to 8, and x^3 remains unchanged.
5. Combining the simplified terms, we have 8x^3 as the final result.
Hence, using the power of a product property, we obtain the expression (2x)^3 simplifies to 8x^3.