Simplify the expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0.(2xy)3

A.
B. 8xy
C. 2x3y3
D. 8x3y3


Answer: D

Mathematics

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Find the square root.

A.
B.
C.
D.

Mathematics

Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to determine whether your conjecture is correct.4 x 6 = 5 × 7 - 116 x 8 = 7 × 9 - 15

A. 8 × 10 = 9 × 11 + 17 B. 8 × 10 = 9 × 11 - 19 C. 8 × 10 = 9 × 11 - 17 D. 8 × 10 = 11 × 15 - 19

Mathematics

Solve the problem.A father wishes to distribute 16 pieces of candy among his 3 children (Abe, Betty, and Cindy) based on the number of hours each child spends doing chores around the house. Using a certain apportionment method, he has determined that Abe is to get 9 pieces of candy, Betty is to get 4 pieces, and Cindy is to get 3 pieces. However, just before he hands out the candy, he discovers that he has 17 pieces (not 16) of candy. When he apportions the 17 pieces of candy using the same apportionment method, Abe ends up with 10 pieces, Betty with 5 pieces, and Cindy with 2 pieces. This is an example of

A. the population paradox. B. the Alabama paradox. C. a violation of the quota rule. D. the new states paradox. E. none of these

Mathematics

Perform the indicated operation. Give answers in rectangular form expressing real and imaginary parts to four decimal places.2

A. 4.3412 + 24.6202i B. 8.5505 - 23.4923i C. -23.4923 + 8.5505i D. -4.6985 + 1.7101i

Mathematics