M3: Rational Exponents Flashcards
1
Q
What are exponents (A.K.A powers)?
A
They determine the number of times a base is multiplied by. Ex - (2^3 = 222)
2
Q
What are radicals (A.K.A roots)?
A
Radicals are the opposite of powers, they turn an already large number back to its possible base. Ex - (√9 = 3^2)
3
Q
What is a Rational Exponent?
A
A rational exponent is where the exponent of a number is a fraction. Such as 1/2 as an exponent.
4
Q
What is 8^1/3 simplified.
A
The answer is 2.
5
Q
How do you “add” exponents?
A
To add an exponent, just multiply them by each other.
6
Q
How do you “subtract” exponents?
A
You subtract them when the bases are divided with each other. Ex - (4^3 / 2^1 = 2^2)
7
Q
What is 2^3 * 4^-5 simplified?
A
64 ------------------ (2³)*(4⁻⁵) (8)*(1/4³) (8)*(1/64) 1/8
8
Q
What is 10^4 / 2^6 simplified?
A
(10⁴/2⁶)
9
Q
What is 16^1/2+27^1/3
A
- To get this you have to get the square root of 16 which is 4 and add it to the cubed root of 27 which is 3.;
10
Q
What is 32^3/5 simplified?
A
8 ------------------ (⁵√32)³ (2)³ (8)
11
Q
what is 8^1/3
A
- When you do 8 to the first power, you get 8, then you have to get the cubed root of eight since the denominator of the power is 3.
