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simplify using only positive exponents: a^2b^-7c^4/a^5b^3C^-2

Evaluate the expression for m = 2, t = −3, and z = 0. z−t(mt)z

Use scientific notation to rewrite the number: a. 0.0002603 in scientific notation b. 5.38 × 102 in standard notation

The speed of sound is approximately 1.2 × 103 km/h. How long does it take for sound to travel 7.2 × 102 km? Write your answer in minutes.

Evaluate the function below over the domain {−1, 0, 1, 2}. As the values of the domain increase, do the values of the function increase or decrease? x 3 y =⎛ ⎞ ⎜ ⎟ 4 ⎝ ⎠

Suppose an investment of $5,000 doubles every 12 years. How much is the investment worth after 36 years? After 48 years? Write and solve an exponential equation.

Does the function represent exponential growth or exponential decay? Identify the growth or decay factor. y = 9 ∙ (1/2)^x

You deposit $520 in an account with 4% interest compounded monthly. What is the balance in the account after 5 years?