Which is equivalent to 3^3/3^-1?
A -81
B -1/81
C 1/81
D 81
3^3/3^-1
= (3^3)(3^1) = 3^4 = ...
3^4=??????
geesh
3^4 = 3x3x3x3 = 81 = 8.1 x 10^1
To solve this problem, we can simplify the expression first.
3^3 means multiplying 3 three times: 3 x 3 x 3 = 27.
Similarly, 3^-1 means taking the reciprocal of 3: 1/3.
Now we have:
27 / (1/3)
To divide by a fraction, we can multiply by its reciprocal. So we'll convert 1/3 to its reciprocal, 3/1:
27 x 3/1 = 81
Therefore, the expression 3^3/3^-1 is equivalent to 81.
So the correct answer is option D, 81.