Use properties of rational exponents to simplify the expression. Assume that any variables represent positive numbers.(r1/9 s1/9)2

A. r1/81 s1/81
B. r2s2
C. r2/9 s2/9
D. r1/18 s1/18


Answer: C

Mathematics

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Find the gradient field F of the function f.f(x, y, z) = ln (x9 + y8 + z6)

A. F = i + j + k
B. F =  ln ( y8 + z6)i +  ln (x9 + z6)j +  ln ( x9 + y8)k
C. F = i + j + k
D. F = i + j + k

Mathematics

Find the domain of the rational function.f(x) = 

A. All real numbers except  and - 
B. All real numbers
C. All real numbers except 14
D. All real numbers except 7

Mathematics

Describe how to transform the graph of g(x) = ln x into the graph of the given function. Graph the function.f(x) = log1/5 x

A. Shift down (ln 5) units


B. Vertically shrink by a factor  


C. Reflect across the x-axis and
shift up (ln 5) units 


D. Reflect across the x-axis and
vertically shrink by a factor  

Mathematics

Without graphing, find the line of symmetry.f(x) = -(x + 3)2 - 3

A. x = -2 B. x = 3 C. x = -4 D. x = -3

Mathematics