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

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

In how many different points does the graph of the function f(x) = x³−2x²+ x − 2 intersect the x-axis?

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

(9 + 2i)(4 − 3i) − (5 − i)(4 − 3i)
The expression above is equivalent to which of the following?

Which of the following is equivalent to 2i²+ 3i³?

$$\frac{3}{2}=\frac{-(5m-3)}{3m}+\frac{7}{12m}$$
What is the solution for m in the equation above?

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

When \(x^{-1}-1\) is divided by x − 1, the quotient is

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

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

Which of the following complex numbers is equivalent to \(\frac{3+i}{4-7i}\)?

(y²+ ky − 3)(y − 4) = y³ + by²+ 5y + 12
In the equation above, k is a nonzero constant. If the equation is true
for all values of y, what is the value of k?

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

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

The expression below is equivalent to
$$\frac{\frac{x-y}{y}}{y^{-1}-x^{-1}}$$

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

If \( k=8\sqrt{2}\, and\, \frac{1}{2}k=\sqrt{3h}\) what is the value of h?

$$p(t)=t^{5}-3t^{4}-kt+7k^{2}$$
In the polynomial function above, k is a nonzero constant. If p(t) is
divisible by t − 3, what is the value of k?

When resistors R1and R2 are connected in a parallel electric circuit,
the total resistance is
\(\frac{1}{\frac{1}{R_{1}}+\frac{1}{R_{2}}}\) 
This fraction is equivalent to

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

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

Which of the following is equivalent to 2i(xi − 4i²)?

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

\(\frac{\sqrt[3]{a^{8}}}{(\sqrt{a})^{3}}=a^{x}\), where a>1
In the equation above, what is the value of x?

Which expression is equivalent to \(\frac{(2xy)^{-2}}{4y^{-5}}\)

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

If n is a negative integer, which statement is always true?

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

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

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

$$g(x)=a\sqrt{41-x^{2}}$$
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?

If the zeros of function f defined above are represented by r, s, and t,
what is the value of the sum r + s + t?

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

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