<span>The ratio of 65*3^17 to 65*3^14 can be found as follows:
(65) (3^17) 65
--------------- = ----- * 3^(17-14) = 1 * 3^3 = 27 (answer)
(65) (3^14) 65</span>
3x^2 - 12 = 0
Personally, I would divide each side by 3 x^2 - 4 = 0
Then I would add 4 to each side x^2 = 4
Then I would take the square root of each side: x = +4
x = -4 .
Having found both solutions, I would relax with a cup of tea.
The length of CD is 7-3=4.
Therefore, if we dilate by a scale factor of 3, the length is 4(3) = 12
It is B because for every point going down, there is 3 to the left and so it is 1/3 and it has to be negative because its going left
Answer:
(48 m^12)/n^8
Step-by-step explanation:
Simplify the following:
3 ((2 m^3)/(n^2))^4
Multiply each exponent in (2 m^3)/(n^2) by 4:
3×2^4 m^(4×3) n^(-2×4)
4 (-2) = -8:
3×2^4 m^(4×3) n^(-8)
4×3 = 12:
(3×2^4 m^12)/(n^8)
2^4 = (2^2)^2:
(3 (2^2)^2 m^12)/(n^8)
2^2 = 4:
(3×4^2 m^12)/(n^8)
4^2 = 16:
(3×16 m^12)/(n^8)
3×16 = 48:
Answer: (48 m^12)/n^8