Reduce the Expression: 2⁷ × 3⁷ × 10⁷ Power Product

Choose the expression that corresponds to the following:

$2^7\times3^7\times10^7=$

To simplify the expression $2^7 \times 3^7 \times 10^7$, we can follow these steps:

• Step 1: Apply the power of a product rule to combine $2^7 \times 3^7$ into $(2 \times 3)^7$.

• Step 2: Recognize that $2 \times 3 = 6$, so the expression becomes $6^7 \times 10^7$.

• Step 3: Again, apply the power of a product rule to combine $6^7 \times 10^7$ into $(6 \times 10)^7$.

• Step 4: Calculate $6 \times 10 = 60$, resulting in $60^7$.

Therefore, the simplified form of the expression is $60^7$. Additionally, since all the provided answer choices ($60^7$, $6^7 \times 10^7$, and $2^7 \times (3 \times 10)^7$) represent equivalent forms of the original expression, all answers are correct.