Simplify the Expression: 8^4 × 8 × 8^-1 Using Exponent Laws

To solve this problem, we will apply the multiplication of powers rule which states that when multiplying powers with the same base, we add their exponents.

Let's begin by analyzing the given expression: $8^4 \times 8 \times 8^{-1}$.

Each term has the base 8, allowing us to use the exponent rule directly:

• First, recognize the exponents for each term: the first term $8^4$ has an exponent of 4, the second term $8$ is equivalent to $8^1$, and the third term $8^{-1}$ has an exponent of -1.
• Then, apply the formula by adding the exponents: $4 + 1 - 1$.

The resulting expression for the exponent is $8^{4+1-1}$.

Therefore, the corresponding expression to the original product is $8^{4+1-1}$.