Which of the following is equivalent to 7^-2?
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Answer:
C. [tex]\frac{1}{49}[/tex]
Step-by-step explanation:
When one puts a number to a negative exponent, such as;
[tex]a^{-b}[/tex]
One is essentially doing;
[tex]\frac{1}{a^{b}}[/tex]
Applying that knowledge;
[tex]7^{-2} \\= \frac{1}{7^{2}}\\= \frac{1}{49}[/tex]