Reduce the Expression: 2⁷ × 3⁷ × 10⁷ Power Product

The power of a product rule only works when exponents are identical! $a^n \times b^n = (a \times b)^n$, so $2^7 \times 3^7 = (2 \times 3)^7$. Different exponents can't be combined this way.

All three forms are equally correct! $60^7$, $6^7 \times 10^7$, and $2^7 \times (3 \times 10)^7$ represent the same value. Choose the form that works best for your specific problem.

Yes! You can break apart powers: $60^7 = (6 \times 10)^7 = 6^7 \times 10^7$. This reverse application is useful for simplifying calculations or factoring.

The rule extends to any number of terms! $a^n \times b^n \times c^n = (a \times b \times c)^n$. So $2^7 \times 3^7 \times 10^7 = (2 \times 3 \times 10)^7 = 60^7$.

Each option represents a different equivalent form of the same expression. Mathematics allows multiple correct representations - they're all equal to $2^7 \times 3^7 \times 10^7$!