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

Which of the following is equal to \(y^{\frac{3}{2}}\) for all values of y for which the
expression is defined?

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

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

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 is equivalent to 2i(xi − 4i²)?

In an electrical circuit, the voltage, E, in volts, the current, I, in amps,
and the opposition to the flow of current, called impedance, Z, in ohms,
are related by the equation E = IZ. What is the impedance, in ohms, of
an electrical circuit that has a current of (3 + i) amps and a voltage of
(−7 + i) volts?

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

If 10^k= 64, what is the value of \(10^{\frac{k}{2}+1}\)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

If \(64^{2n+1}=16^{4n-1}\), what is the value of n?

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

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

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

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

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

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