If k = 3, what is the solution of the equation below?
$$2\sqrt{x-k}=x-6$$

If \(4^{y}+4^{y}+4^{y}+4^{y}=16^{x}\), then y

$$i^{13}+i^{18}+i^{31}+n=0$$
In the equation above, what is the value of n in simplest form?

What is the value of \(\left ( \frac{1}{2}+i\sqrt{5} \right )\left ( \frac{1}{2}-i\sqrt{5} \right )\)

If \(\sqrt{m} = 2p\; then\: m^{\frac{3}{2}}=\)

If \(g(x)=(x\sqrt{1-x})^{2}\), what is g(10)?

Which of the following is equal to (x + i)²− (x − i)²?

$$\frac{16a^{4}-81b^{4}}{8a^{3}+12a^{2}b+18ab^{2}+27b^{3}}$$
Which of the following expressions is equivalent to the expression
above?

If \(3^{x}=81 \, and\, 2^{x+y}=64,\, then\, \frac{x}{y}=\)

Which of the following functions have zeros −1, 1, and 4?

A meteorologist estimates how long a passing storm will last by using
the function\(t(d)=0.08d^{\frac{3}{2}}\) where d is the diameter of the storm, in miles, and t is the time, in hours. If the storm lasts 16.2 minutes, find its diameter, in miles

If 27^{x}=9^{y-1}, then

$$\frac{t}{t-3}-\frac{t-2}{2}=\frac{5t-3}{4t-12}$$
If x and y are solutions of the equation above and y > x, what is the
value of y − x?

If y is not equal to 0, what is the value of \(\frac{6(2y)^{-2}}{(3y)^{-2}}\)?

If a, b, and c are positive numbers such that \(\sqrt{\frac{a}{b}}=8c\) and ac = b, what is the value of c?

If (x − yi) + (a + bi) = 2x and i = √-1, then (x + yi)(a + bi) = 

$$g(x)=a\sqrt{41-x^{2}}$$
Function g is defined by the equation above where a is a nonzero real
constant. If g(2t)=√5, where i =√-1 , what is the value of a?

$$\left ( \frac{10x^{2}y}{x^{2}+xy} \right )\times \left ( \frac{(x+y)^{2}}{2xy} \right )+\left ( \frac{x^{2}-y^{2}}{y^{2}} \right )$$
Which of the following is equivalent to the expression above?

Function g is defined by the equation below. If g (−8) = 375, what is
the value of a?
$$g(x)=a\sqrt{a(1-x)}$$

Which of the following is equal to for all values of \(b^{\frac{1}{2}}\) for which the expression is defined?

If x is a positive integer greater than 1, how much greater than
\(x^{2}\, is\, x^{\frac{5}{2}}\)

if\((2rs)^{-1}=3s^{-2}\), what is the value of \(\frac{r}{s}\)?

Which of the following is equal to (13 + 17i)(4 − 9i)?

If x = 3i, y = 2i, z = m + i, and i =√-1 , then the expression xy²z =

$$\frac{y^{3}+3y^{2}-y-3}{y^{2}+4y+3}$$
The expression above is equivalent to

If n and p are positive integers such that
\(8(2^{p})=4^{n}\), what is n in terms of p?

The expression \(\frac{x^{2}}{\sqrt{x^{3}}}\)is equivalent to

If \(\frac{6+4i}{1-3i}\), what is the value of a + b?

Which of the following is equal to \(i^{50} + i^{0}?\)

If m and p are positive integers and
\((2\sqrt{2})^{m}=32^{p},\, what \, is\, the \, value \, of\, \frac{p}{m}\)

What is the sum of the zeros of function f defined by the equation
below?
f(x) = (2 − 3x)(x + 3) + 4(x²− 6)

If p(x) is a polynomial function and p(4) = 0, then which statement is
true?

Expressed in simplest form, \(2\sqrt{-50}-3\sqrt{-8}\) is equivalent to