Question

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

Answer 1

`a^(-b)=\frac {1}{a^b}\\\\ \frac {1}{a^(-b)}=a^b`

So,

`\frac {1}{3^(-5)}=3^5= 3 * 3 * 3 \ times 3 * 3 = 243`

Answer 2

`a^(-n)=\left((1)/(a)\right)^n\\-------------------\\\left((1)/(3)\right)^(-5)=\left((3)/(1)\right)^5=3^5=3\cdot3\cdot3\cdot3\cdot3=\huge\boxed{243}\leftarrow \boxed{a}`


`If\ the\ expression\ is\ (1)/(3^(-5))\ therefore\ is\ the\ same\ (1)/((1)/(3^5))=3^5=\huge\boxed{243}`