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If \(2^n = 128\), find the value of \(2^{n - 1})(5^{n - 2})\)

Mathematics
WAEC 2008

If \(2^n = 128\), find the value of \(2^{n - 1})(5^{n - 2})\)

  • A. 5(106)
  • B. 2(106)
  • C. 5(105)
  • D. 2(105)
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Correct Answer: Option D
Explanation

2n = 128

2n = 27

n = 7

(2n - 1)(5n - 2) = (2n - 2.2)(5n - 2) put n = 7

(2n - 1)(5n - 2) = 2(2n - 2 x 5n - 2)

= 2(2 x 5)n - 2

= 2(10n - 2) put n = 7

(2n-1)(5n-2) = 2(105)


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Join your school's WhatsApp group
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Join your school's WhatsApp group
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts