The volume of a cube with side length 2 is 256 cubic units.
8 * m^5
This can be read as "8 times m to the power of 5" or "8 multiplied by m to the power of 5".
To evaluate this expression, we would first raise m to the power of 5, and then multiply the result by 8. For example, if m = 2, then the expression would be evaluated as follows:
8 * m^5 = 8 * 2^5 = 8 * 32 = 256
This expression can be used in a variety of mathematical contexts. For example, it could be used to calculate the volume of a cube with side length m, or the area of a sphere with radius m.
Here is a more detailed explanation of the steps involved in evaluating the expression:
1. Identify the order of operations.*The order of operations is a set of rules that dictate how mathematical expressions should be evaluated. According to the order of operations, exponentiation is performed before multiplication.
2. Evaluate the exponent. In this case, the exponent is 5. To evaluate 5 to the power of 5, we simply multiply 5 by itself 5 times.
3. Multiply the result by 8. Once we have evaluated the exponent, we simply multiply the result by 8.
Here is an example of how the expression could be used in a mathematical context:
The volume of a cube with side length m is given by the following formula:
V = m^3
If we want to calculate the volume of a cube with side length 2, we can substitute m = 2 into the formula:
V = 2^3 = 8
We can also use the expression 8 * m^5 to calculate the volume of a cube with side length m. To do this, we would simply substitute m = 2 into the expression:
8 * m^5 = 8 * 2^5 = 8 * 32 = 256