Question
Download Solution PDFWhat is the value of the given expression?
\(\dfrac{4^{a + 4}-5 \times 4^{a + 2}}{15\times4^a-2^2\times4^a}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
am * an = am+n
Calculation
\(\dfrac{4^{a + 4}-5 × 4^{a + 2}}{15×4^a-2^2×4^a}\)
⇒ (4a × 44 - 5 × 4a × 42)/(15 × 4a - 22 × 4a)
⇒ 4a (44 - 5 × 42)/4a (15 - 22)
⇒ 4a(256 - 80)/4a(11)
⇒ 176/11 = 16
The value of the expression is 16.
Last updated on Jun 13, 2025
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