Dentino275 Dentino275
  • 15-09-2015
  • Mathematics
contestada

What is the value of the expression 1/3^-5?
a. 243
b. 15
c. 1/15
d. 1/243

Respuesta :

Аноним Аноним
  • 15-09-2015
[tex]a^{-n}=\left(\dfrac{1}{a}\right)^n\\-------------------\\\left(\dfrac{1}{3}\right)^{-5}=\left(\dfrac{3}{1}\right)^5=3^5=3\cdot3\cdot3\cdot3\cdot3=\huge\boxed{243}\leftarrow \boxed{a}[/tex]

[tex]If\ the\ expression\ is\ \dfrac{1}{3^{-5}}\ therefore\ is\ the\ same\ \dfrac{1}{\dfrac{1}{3^5}}=3^5=\huge\boxed{243}[/tex]
Answer Link
TSO
TSO TSO
  • 15-09-2015
[tex]a^{-b}=\frac {1}{a^b}\\\\ \frac {1}{a^{-b}}=a^b[/tex]

So,
[tex]\frac {1}{3^{-5}}=3^5= 3 \times 3 \times 3 \ times 3 \times 3 = 243[/tex]
Answer Link

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