Evaluate 16 0 16 16 0 04 2 0 2 - JAMB Mathematics 2023 Question

Let's simplify the expression:

\[ 16^{0.16} \times 16^{0.04} \times 2^{0.2} \]

First, observe that \(16^{0.16}\) and \(16^{0.04}\) are both powers of 16, so we can combine them:

\[ 16^{0.16} \times 16^{0.04} = 16^{0.2} \]

Now, we have:

\[ 16^{0.2} \times 2^{0.2} \]

Since \(16^{0.2}\) is the same as \((2^4)^{0.2}\) (which is equivalent to \(2^{0.8}\)), we can rewrite the expression as:

\[ 2^{0.8} \times 2^{0.2} \]

Now, use the property that \(a^m \times a^n = a^{m + n}\):

\[ 2^{0.8 + 0.2} = 2^{1.0} = 2 \]