Question

Simplify the expression 5^3 x 5^-5 A. 5^2 B. 1/5 C. 1/5^2 D. -52

Answer 1

${5}^{3} \: \times \: {5}^{ - 5}$

• 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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