Question

Evaluate the expression for the given value of the variable. $$ b^{4} \text { when } b=9 $$

Short answer

The value of the expression \( b^{4} \) when \( b = 9 \) is \( 6561 \).

Step-by-step solution

Understanding the Problem

The problem is asking to calculate the value of the expression \( b^{4} \) when the value of the variable \( b \) is \( 9 \). Exponentiation is an arithmetic operation, in this case, with a base of \( b \) and an exponent of \( 4 \), which means \( b \) multiplied by itself three more times.

Substituting the Value

Replace the \( b \) in \( b^{4} \) with \( 9 \), giving \( 9^{4} \).

Calculating the Expression

Evaluate \( 9^{4} \), which means \( 9 \) multiplied by itself three more times. The result is \( 6561 \).