Find the value obtained when 10 is raised to the given exponent. Round to three significant digits.
--2.0891
A)-123
B)123
C)0.00815
D)-0.00815

Question

Quizplus · Accepted Answer

When a negative exponent is encountered, it is helpful to rewrite it as the reciprocal of the positive exponent. So, 10^-2.0891 can be written as 1/10^2.0891. Evaluating this gives us approximately 0.00815, rounded to three significant digits. Therefore, the correct answer is C. When a negative exponent is applied to 10, it means we are dividing 1 by 10 raised to the absolute value of the exponent. 
Thus, 10^-2.0891 = 1/10^2.0891 = 0.008147... 
Rounding to three significant digits gives 0.00815, which corresponds to choice C.

Find the Value Obtained When 10 Is Raised to the Given