PROPERTIES OF EXPONENTS
When you multiply two like bases, you do "this" to the exponents.
What is ADD.
The fourth root of 81 will give you "this" result.
What is 3.
What is an EXPONENTIAL FUNCTION.
Label the following function: y = a(1 - r)^t
What is y = final amount, a = initial amount, r = rate of decay (in decimal form), (1 - r) = decay factor, and t = time.
Doing "this" will help you solve exponential equations with unlike bases.
What is REWRITE EACH SIDE OF THE EQUATION USING THE SAME BASE, THEN SET THE EXPONENTS EQUAL TO EACH OTHER AND SOLVE.
When you divide two like bases, you do "this" to the exponents.
What is SUBTRACT.
The third root of -125 will give you "this" result.
What is -5.
Evaluating y = -7(2)x when x = -5 will give you "this" result.
What is -7/32.
Identify the initial amount a and the rate of growth r (as a percent) of the exponential function. Evaluate the function when t = 5. Round your answer to the nearest tenth.
y = 50(1 + 0.25)^t
What is a = 50, r = 25%, and y = 152.6.
Solve the equation: 45x = 410
What is x = 2.
Any base raised to the zero power will give you a unique result.
What is ONE.
The number of solutions is "this" when the index equals 3 and 'a' equals 27.
What is ONE SOLUTION.
y = 6(-11)x represents an exponential function.
What is FALSE.
Write a function that represents the following situation: Profits of $100,000 increase by 15% each year.
What is f(t) = 100,000(1.15)t.
Solve the equation: 7x - 5 = 49x
What is x = -5.
How to make a negative exponent located in the denominator positive.
What is BRINGING THE BASE/EXPONENT UP TO THE NUMERATOR.
The number of solutions is "this" when the index equals 4 and 'a' equals 16.
What are TWO SOLUTIONS.
Evaluating f(x) = 1/9(27)x when x = 2/3 will give you "this" result.
What is 1.
A school population of 1200 decreases by 6% each year will give you "this" function.
What is y = 1200(.94)t.
Solve the equation: (1/5)x = 125
What is x = -3.
When there is an exponent located inside the grouping symbol raised to another exponent, you do "this" to the exponent.
What is MULTIPLY.
The area of a square patio is forty-nine to the third power square inches. The length of one side of the patio is "this".
What is 343 INCHES.
The function y = 3(2)x represents the population of bees in a beehive where x represents the number of days. How many bees are in the beehive after 4 days?
What are 48 BEES.
Determine whether the following represents an exponential growth function, an exponential decay function, or neither.
x = 0, 1, 2, 3; y = 4, 12, 36, 108
What is an EXPONENTIAL GROWTH FUNCTION.
Solve the equation: 36-3x+3 = (1/216)x+1
What is x = 3.