Find the product or quotient. Express using exponents.

$$\left( n ^ { 4 } \right) \left( n ^ { 4 } \right)$$

Simplify: 8/9 - (7/9 - 5/9)

Simplify each expression. Write each answer in scientific notation.

$$\left( 0.5 \times 10 ^ { 13 } \right) \left( 0.3 \times 10 ^ { - 4 } \right)$$

Solve the linear congruence 17$x \equiv 3(\bmod 2 \cdot 3 \cdot 5 \cdot 7)$ by solving the system

$$\begin{array}{ll}{17 x \equiv 3(\bmod 2)} & {17 x \equiv 3(\bmod 3)} \\ {17 x \equiv 3(\bmod 5)} & {17 x \equiv 3(\bmod 7)}\end{array}$$

Make a substitution to express the integrand as a rational function and then evaluate the integral. ∫ x^3 / ∛x^2 + 1 dx

Jonathan deposits $6,000 in a savings account that pays 2.1% interest compounded quarterly. What is his balance after one year?

Identify whether the function is quadratic. Use a graph to check your answers. $m(x)=3 x-x(x+9)$

What are the 'Physicsl Jerks' in 1984?

The thicknesses of glass sheets produced by a certain process are normally distributed with a mean of $\mu = 3.00$ mm and a standard deviation of $\sigma = 0.12$ mm. $\textbf{(a)}$ What is the probability that three glass sheets placed one on top of another have a total thickness greater than 9.50 mm? $\textbf{(b)}$ What is the probability that seven glass sheets have an average thickness less than 3.10 mm?

Suppose that the amount, in grams, of radium 226 present in a given sample is determined by the function defined by $A(t)=3.25 e^{-0.00043t}$, where t is measured in years. Find the amount present in the sample after the given number of years. (a) 20, (b) 100, (c) 500, (d) What was the initial amount present?

_____ in molds, hypha that spreads across the surface of food.

If $\sin \theta=-\frac{1}{3}$ and $\pi<\theta<\frac{3 \pi}{2},$ find the exact value of: $\tan \theta.$

Suppose that in the absence of predators, the prey population fallows a logistic model, and the predators still follow a Malthusian model. Show that whene the interaction is modeld, the resulting equations are of the form. $F^{\prime}=a F-e F^{2}-b F S$ $S^{\prime}=-c S+d F S$

Let $f(x)=4 x^{2}-2 x$ and let g(x)=8x+1. Find each given value. (gf)(-3)