LeonardaG653634 LeonardaG653634
  • 03-11-2022
  • Mathematics
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If a = 6, which of the following is equal to a 2?1o-36O O-122

If a 6 which of the following is equal to a 21o36O O122 class=

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WestynU631103 WestynU631103
  • 03-11-2022

Solution:

The question given is a negative exponent.

To solve this, we apply the law of indices for negative exponents.

Negative exponent law is indicated below;

[tex]a^{-x}=\frac{1}{a^x}[/tex]

Thus, applying this law to the question;

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

Given:

a = 6

Substituting a = 6 into the expression, we have;

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

Therefore, the correct answer is;

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

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