[tex] {5}^{3} \: \times \: {5}^{ - 5} [/tex]
- We first compute the product.
[tex] {5}^{ - 2} [/tex]
- We can transform the product into positive if we use this formula:
[tex] \boxed{ {a}^{ - n} \: = \: \frac{1}{ {a}^{n} } }[/tex]
We apply it:
[tex] {5}^{ - 2} \: = \: \boxed{ \bold{\frac{1}{ {5}^{2} } }}[/tex]
Answer:
[tex]\text{Option C.} \: \boxed{ \bold{\frac{1}{ {5}^{2} } }}[/tex]
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