Question
Find the value of the expression {(4096) n
/4 × 8 3n + 1 }/{(512) n × 8 n – 1 }.Solution
Given, {(4096) n/4 × 8 3n + 1 }/{(512) n × 8 n – 1 }
= {(8 4 ) n/4 × 8 3n + 1 }/{(8 3 ) n × 8 n – 1 }
= (8 4n + 1) /(8 4n – 1 ) (Since, a n × a m = a m + n )
= 8 4n + 1 – 4n + 1 (Since, a m /a n = a m – n )
= 8 2 = 64
More Algebra Questions
- Determine the final value of this expression:
(1/5) of {5⁴ - 24 × 14 + 12 × 18 - 10.5 of 10²} 3% of 842 ÷ 2% of 421 = ?
√225 + 27 × 10 + ? = 320
- Determine the value of ‘p’ if p = √529 + √1444
45 % of 180 + √144 * 8 = ?2 + 70 % of 80
Determine the value of 'p' in following expression:
720 ÷ 9 + 640 ÷ 16 - p = √121 X 5 + 6²- 7?2 = √20.25 × 10 + √16 + 32
- What will come in place of the question mark (?) in the following questions?
(2⁴ + 6²) ÷ 2 = ? 18(1/3) + 9(2/3) – 10(1/3) = 1(2/3) + ?
