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JAMB Mathematics 2023 Paper

Question : 2

Total: 80

Evaluate: 16

^{0.16}

^{0.04}

^{0.2}

Solution:

Concept:

Express each number as a power of the same base to combine the indices by addition.

Explanation:

First, rewrite

16

2^4

16^{0.16} = (2^4)^{0.16} = 2^{4 \times 0.16} = 2^{0.64}

Similarly,

16^{0.04} = (2^4)^{0.04} = 2^{0.16}

The third term is already

2^{0.2}

Now multiply all terms:

2^{0.64} \times 2^{0.16} \times 2^{0.2}

When multiplying powers with the same base, add the exponents:

2^{0.64 + 0.16 + 0.2} = 2^{1.0} = 2^1

Therefore,

2^1 = 2

Answer:

2

Option A.

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