The minimum recommended width of the space between 6-inch by 6-inch tiles is 2^-2 inch and the maximum recommended width is 2^-1 inch. Simplify the expressions for the minimum and maximum widths of the space between the 6-inch by 6-inch floor tiles.
1/4 and 1/2 inch
Thanks
To simplify the expressions for the minimum and maximum widths of the space between the 6-inch by 6-inch floor tiles, we need to simplify the given expressions involving exponents.
Minimum Width: 2^-2 inch
When an exponent is negative, it means to take the reciprocal of the base raised to the positive value of the exponent. Therefore, 2^-2 can be simplified as follows:
2^-2 = 1 / 2^2 = 1 / 4
So, the minimum width of the space between the tiles is 1/4 inch.
Maximum Width: 2^-1 inch
Similarly, 2^-1 can be simplified as follows:
2^-1 = 1 / 2^1 = 1 / 2
So, the maximum width of the space between the tiles is 1/2 inch.
Therefore, the simplified expressions for the minimum and maximum widths of the space between the 6-inch by 6-inch floor tiles are 1/4 inch and 1/2 inch, respectively.