Using the Product Rule of Exponents, what is an equivalent form of 1^9 x 1^8? (1 point)

1 answer

Using the Product Rule of Exponents, which states that \(a^m \times a^n = a^{m+n}\), we can combine the two powers of 1:

\[ 1^9 \times 1^8 = 1^{9+8} = 1^{17}. \]

Since any power of 1 is still 1, we can conclude that:

\[ 1^9 \times 1^8 = 1. \]

So, the equivalent form of \(1^9 \times 1^8\) is \(\boxed{1}\).