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

Answer 1

Using the Product Rule of Exponents, which states that when you multiply two powers with the same base, you can add the exponents, we can simplify the expression \(1^9 \times 1^8\).

According to the Product Rule:

\[ a^m \times a^n = a^{m+n} \]

In this case, the base \(a\) is \(1\), and the exponents \(m\) and \(n\) are \(9\) and \(8\) respectively.

So, we can add the exponents:

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

Thus, the equivalent form is:

• Base = 1
• Exponent = 17