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Simplify the expression 5^3 x 5^-5

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

Sagot :

MissSpanish

[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]

MissSpanish

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