Exponent Rules
The zero exponent rule.
What is x0 = 1?
122
What is 144?
The product rule.
What is logb(xy) = logb(x) + logb(y)?
log6(36)
What is 2?
The points this question is worth.
What is 100?
The product rule.
What is ax * ay = ax + y?
63
What is 216?
The quotient rule
What is logb(x/y) = logb(x) - logb(y)?
log5(2517)
What is 34?
9 + 10 according to the meme posted in mid 2013.
What is 21!
The negative exponent rule.
What is a-x = 1/(ax)?
A radioactive element has a half life of 270 years. Today it is 4 grams, it is this many grams in 540 years.
What is 1 gram?
The power rule.
What is logb(xy) = y*logb(x)
log32(128)
What is 7/5?
"Hello. My name is Inigo Montoya. You killed my father. Prepare to die." Is a famous quote from this movie.
What is The Princess Bride?
The power rule.
What is (ax)y = ax*y?
Lucia invests 300 dollars into me! yippee!! BUT! I agreed to pay her back with a 5% interest rate compounded yearly. How much do I owe her 2 years from now?
What is $331.51?
The change of base rule.
What is loga(x) = logb(x)/logb(a)?
log2(2) + log2(12) - log2(3).
What is 3?
This unlucky vendor from Avatar the last Airbender sells this vegetable that shares a name with my pet pigeon.
What is cabbage?
The fractional exponent rule.
What is ax/y = ?
Diego loans Peter 200 dollars because Peter really wanted to buy something for 200 dollars. Peter promised to pay Diego back at an interest rate of 4.3% compounded continuously. Diego gets paid back $227.54. It took this long for Diego to get paid back.
What is 3 years.
Using the reciprocal rule it is equal to logb(1/x).
What is - logb(x) equal to?
Solve for x. logx(81) = 4/3.
What is 27?
It's f(g(x)) where
f(x) = x2 + 1
g(x) = x - 2
What is x2 - 4x + 5?