Final answer:
The expression 5b to the power of 2 + 28 involves exponentiation where b is squared, multiplied by 5, and then added to 28. Understanding exponentiation and following standard mathematical operations simplifies solving such expressions.
Step-by-step explanation:
The expression 5b to the power of 2 + 28 involves an operation known as exponentiation, where b is a variable raised to the second power, or squared. The exponentiation is followed by an addition of the constant 28. Let's solve the expression step-by-step:
- First, we take the variable b and raise it to the second power, which means b is multiplied by itself once (b * b).
- Next, we multiply this result by the coefficient 5 to compute 5b².
- Finally, we add the constant 28 to our result from the exponentiation.
An example to illustrate the concept could involve a numerical value for b, such as 3. Applying the above steps:
- b is squared: 3 * 3 = 9.
- This result is multiplied by 5: 5 * 9 = 45.
- The constant 28 is added: 45 + 28 = 73.
As per the reference tip 17, remember that when dealing with exponents, negative signs, or other specific functions, standard rules and tricks can help simplify the math operations involved.