Question

Using the exponent properties, which of the following expressions is equivalent to (2–√)3⋅2−12 ?(1 point)

Answer 1

To simplify the expression \( (2^{-\sqrt{3}}) \cdot 2^{-12} \) using exponent properties, you can follow these steps:

1. Use the property of exponents that states \( a^m \cdot a^n = a^{m+n} \) to combine the exponents. In this case, we have:

\[
2^{-\sqrt{3}} \cdot 2^{-12} = 2^{-\sqrt{3} - 12}
\]

2. Therefore, the expression simplifies to:

\[
2^{-\sqrt{3} - 12}
\]

So, the equivalent expression is \( 2^{-\sqrt{3} - 12} \).