Question : What is the value of the given expression?
$\frac{4^{a + 4}- 5 \times 4^{a + 2}}{15 \times 4^a - 2^2 \times 4^a}$
Option 1: 16
Option 2: 64
Option 3: 20
Option 4: 24
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Correct Answer: 16
Solution :
$\frac{4^{a+ 2}(4^{2} - 5 \times 1)}{4^{a}(15 - 4)}$
$=\frac{4^{a + 2}(11)}{4^{a}(11)}$
$=\frac{4^{a}\times4^{2}(11)}{4^{a}(11)}$
$=4^2$
$=16$
Hence, the correct answer is 16.
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