Solve the Power Expression: 2³ × 4³ Multiplication Problem

We are given the expression $2^3 \times 4^3$ and need to express it as a single term using the power of a product rule.

The power of a product rule states that any non-zero numbers $a$ and $b$ and an integer $n$ can be written as $(a \times b)^n = a^n \times b^n$.

To apply the inverse formula, which is converting two separate powers into a product raised to a power, we look for terms that can be combined under a single exponent. Note:

• Both terms $2^3$ and $4^3$ have the same exponent.

• This allows us to combine them into a single expression: $(2 \times 4)^3$.

Therefore, according to the power of a product rule applied inversely, the expression $2^3 \times 4^3$ can be rewritten as $(2 \times 4)^3$.