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Find the value of t for which (\(\frac{1}{2}\))\(^{t - 1}\) = 64

Mathematics
JAMB 2025

Find the value of t for which (\(\frac{1}{2}\))\(^{t - 1}\) = 64

  • A. -6
  • B. -5
  • C. -7
  • D. -4
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Correct Answer: Option B
Explanation

\(\left(\frac{1}{2}\right)^{t - 1} = 64,\)

rewrite \(64\) as a power of \(\frac{1}{2}\):

\(64 = \left(\frac{1}{2}\right)^{-6}.\)

Equate the exponents: \(t - 1 = -6\)

Thus, \(t = -5\)

There is an explanation video available below.


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Explanation Video

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