Complete the Expression: (z×b)⁴ Fourth Power Problem

Insert the corresponding expression:

$\left(z\times b\right)^4=$

To solve the expression $\left(z \times b\right)^4$, we will apply the Power of a Product rule, which states that $(ab)^n = a^n \times b^n$.

• Step 1: Identify the base and the exponent in the expression. Here, the base is $z \times b$ and the exponent is 4.

• Step 2: Apply the Power of a Product rule to distribute the exponent to each factor inside the parentheses.

• Step 3: Raise each variable to the power of 4:

  • $z^4$

  • $b^4$

• Step 4: Multiply the results together:

  • $z^4 \times b^4$

Therefore, the expanded form of $\left(z \times b\right)^4$ is $z^4 \times b^4$.

Final Solution: $z^4 \times b^4$