Use properties of exponents to simplify the expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero.(x5 ? x2)-3

A.
B.
C.
D. x21


Answer: A

Mathematics

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For a regular pentagonal pyramid, each lateral face has an area of 12 cm2. If the area of the pentagonal base is 15 cm2, find the total (surface) area of the pyramid.

A. 75 cm2 B. 90 cm2 C. 87 cm2 D. 102 cm2

Mathematics

Find the debt-to-equity ratio rounded to the nearest hundredth.Great Lakes Foundry has current liabilities of $250,000, long-term liabilities of $626,000, and owner's equity of $1,358,000.

A. 0.46 B. 0.40 C. 1.55 D. 0.65

Mathematics

Express as a difference of logarithms.log8

A. log8 10 - log8 13 B. log8 13 ÷ log8 10 C. log8 13 - log8 10 D. log4 13 - log4 10

Mathematics

The circle graph summarizes the results of a survey of the favorite movie category chosen by a group of adults. 2000 adults answer the survey.Find the ratio of number of respondents who favor action movies to those who favor drama movies. Write the ratio as a fraction with integers in the numerator and denominator.

A.
B.
C.
D.

Mathematics