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Solve for k in the equation \(\frac{1}{8}^{k+2}\) = 1

Mathematics
JAMB 2022

Solve for k in the equation \(\frac{1}{8}^{k+2}\) = 1

  • A. 2
  • B. -4
  • C. -2
  • D. 4
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Correct Answer: Option C
Explanation

\((8^{-1})^{k+2}\) = \((8^{0})\)

base 8 cancel out on both sides

-1(k+2) = 0

-k -2 = 0

: k = -2

There is an explanation video available below.


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Explanation Video

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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free