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18 Cards in this Set
- Front
- Back
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(5²)³
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5²*³ = 5^(6) = 15625
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When numbers are written like:
(5²)³ How do you solve this? |
You multiply the exponent inside the bracket with the number outside of the bracket to create a new exponent.
Then finish. |
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When numbers are written like:
6(6³) How do you solve this? |
When no exponent is written, you assume there's an exponent of one.
In this case, you add both the exponents in the equation. So: 6 to the power of 1+3=4. 4 is the new exponent. So you get 6 to the power of 4 and solve from there. |
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What the hullaballoo is a "negative recipricol"?
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It's when you have a fraction and you switch the top number with the bottom number to switch the sign. So like, if it's negative it will be positive now and vice versa.
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When something has an exponent of zero, what does it equal?
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1.
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When something's written "to the square root of four, to the power of three" it can also be written as...
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y¾
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y¾ =
(imagining \| is a square root sign) |
(\4|y)³
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How do you type 3°.² into a calculator?
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3^(0.2)
*Brackets are something you don't have to have, but won't mess up your answer if you have them. |
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What's exponential form?
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When you write a number as instead of: y¾
The little 4 is inside the square root symbol and the 3 is an exponent to the whole thing. So like: (\4|y)³ if you pretend \| is a square root symbol. |
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A coefficient will have a growth if...
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it is higher than 1.
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A coefficient will have a decay if...
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it is 0.something.
(In between 0 and 1.) |
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The faster the decay...
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the closer the coefficient is to zero.
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The faster the growth...
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the higher the coefficient.
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What the baloney is an asymptote?
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a line that a curve approaches, but never reaches on some part of its domain.
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P(n) = WHAT VALUE (% value) exponent
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Initial value- the number you're given to start with.
eg. if the population is so-and-so and you're trying to figure out what it is ten years down the road with a growth rate of whatever %, the value you're being asked for here is the population. |
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P(n) = initial value (WHAT VALUE) exponent
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Growth rate- it's the % you're given, the rate the line grows or decays.
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WHAT VALUE = initial value (% value) exponent
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This is when you're asked to find the amount after, let's say... 4 years. 4 would be what you sub in here and then you'd do some algebraic voodoo to solve it.
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Growth rate is always...
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(1+r)
AKA- it's the initial value, PLUS it's also the percent growth rate thing you're given. So if it's a 20% growth rate, your LEGIT growth rate is: 1.2! |
