tay456760 tay456760
  • 26-02-2020
  • Mathematics
contestada

HELP QUICK PLEASE Simplify this expression.
(5)^-5(5)^7. 1.) 1/25. 2.) 25. 3.) 10. 4.) 5^-35.

Respuesta :

EmmaEllis123
EmmaEllis123 EmmaEllis123
  • 26-02-2020

Answer:

2) 25

Step-by-step explanation:

1. Use Negative Power Rule [tex]x^{-a} =\frac{1}{x^{a} }[/tex]

[tex]\frac{1}{5^{5} }[/tex] × [tex]5^{7}[/tex]

2. Simplify [tex]5^{5}[/tex] to 3125.

[tex]\frac{1}{3125}[/tex] × [tex]5^{7}[/tex]

3. Simplify [tex]5^{7}[/tex] to 78125.

[tex]\frac{1}{3125}[/tex] × 78125

4. Simplify.

[tex]\frac{78125}{3125}[/tex]

5. Simplify.

25

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