Question

simplify.
$2^{-3} \cdot 2^4 = 2^1$
$=?$

Explanation:

Step1: Use exponent rule \(a^m \cdot a^n = a^{m + n}\)

For \(2^{-3} \cdot 2^{4}\), we add the exponents: \(-3 + 4 = 1\), so \(2^{-3} \cdot 2^{4}=2^{1}\)

Step2: Evaluate \(2^{1}\)

By the definition of exponents, \(a^{1}=a\), so \(2^{1} = 2\)

Answer:

\(2\)