Anumber to the 8th power divided by the same number to the 5th power equals 27. what is the number?

What two criteria are needed for triangles to be similar

Which statements about these triangles is true

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?