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  • 22-06-2022
  • Mathematics
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Use fractions to explain why 6^2 6^-2 = 1

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jimrgrant1 jimrgrant1
  • 22-06-2022

Answer:

see explanation

Step-by-step explanation:

using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then

[tex]6^{-2}[/tex] = [tex]\frac{1}{6^{2} }[/tex] = [tex]\frac{1}{36}[/tex]

6² × [tex]6^{-2}[/tex]

= 36 × [tex]\frac{1}{36}[/tex]

= 1

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