Simplify by first converting to rational exponents. Assume that all variables represent positive real numbers.

A.
B. 243
C. 9
D. 81


Answer: D

Mathematics

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Perform the indicated operation and simplify. Assume all variables in the radicand are greater thanor equal to zero. ? 

A.
B.
C.
D. 210mn

Mathematics

An expression that occurs in calculus is given. Write the expression as a single quotient in which only positive exponents and/or radicals appear.(x2 - 1)1/2 ? (2x + 5)1/2 ? 2 + (2x + 5)3/2 ? (x2 - 1)-1/2 ? 2x

A. (x2 - 1)1/2 (2x + 5)1/2(5x2 + 5x - 3)
B.
C. (x2 - 1)1/2 (2x + 5)-1/2(5x2 + 5x - 3)
D.

Mathematics

Let U = { 3, 6, 9, 12, 15, ... } and p(x) be the open statement "x is even". Determine the truth value of the given statement.[?x p(x) ?[?x (~p(x))]

Fill in the blank(s) with the appropriate word(s).

Mathematics

Use synthetic division to find the quotient and the remainder.x2 + 9x + 10 is divided by x + 6

A. x + 3; remainder -8 B. x + 4; remainder 0 C. x + 3; remainder 0 D. x + 3; remainder 8

Mathematics