Which expression correctly represents a power function using a base and an exponent?

• A. $\frac{b}{n}$
• B. $b^n$
• C. $b+n$
• D. $b-n$

Answer: (B)

Verified step by step guidance

1. Understand that a power function involves a base raised to an exponent, which means the base is multiplied by itself as many times as indicated by the exponent.
2. Recall the general mathematical notation for a power function: the base \( b \) raised to the exponent \( n \) is written as \( b^n \).
3. Recognize that the expression \( \frac{b}{n} \) represents a fraction, not a power function, so it is not the correct representation.
4. Note that expressions like \( b + n \) or \( b - n \) represent addition or subtraction, which are different operations from exponentiation.
5. Therefore, the correct expression for a power function using base \( b \) and exponent \( n \) is \( b^n \), which shows the base raised to the power of the exponent.