Simplify: \(2^{3} \times 2^{2} \div 2^{4}\)
2
Use the laws of exponents for a common base: \(a^{m} \times a^{n} = a^{m+n}\) and \(a^{m} \div a^{n} = a^{m-n}\).
Combine the indices: \(2^{3} \times 2^{2} \div 2^{4} = 2^{3 + 2 - 4} = 2^{1}\).
Evaluate: \(2^{1} = 2\).
Hence, the simplified value is 2.
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