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Power Law

Simplify and ...

Question

Simplify and write in exponential form.
$(\frac{8^{2}}{8^{5}})^{4} \times 8^{- 3}$ [2 MARKS]

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Solution

Concept: 1 Mark
Application: 1 Mark

$(\frac{8^{2}}{8^{5}})^{4} \times 8^{- 3}$
$= (8^{2 - 5})^{4} \times 8^{- 3}$
$= (8^{- 3})^{4} \times 8^{- 3}$
$= 8^{- 12} \times 8^{- 3}$
$= 8^{- 15}$

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