Question

Simplify the expression 5^3 x 5^-5

A. 5^2
B. 1/5
C. 1/5^2
D. -52

Answer 1

`{5}^(3) \: * \: {5}^( - 5)`

• We first compute the product.

`{5}^( - 2)`

• We can transform the product into positive if we use this formula:

`\boxed{ {a}^( - n) \: = \: \frac{1}{ {a}^(n) } }`

We apply it:

`{5}^( - 2) \: = \: \boxed{ \bold{\frac{1}{ {5}^(2) } }}`

Answer:

`\text{Option C.} \: \boxed{ \bold{\frac{1}{ {5}^(2) } }}`

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