Exponents and Roots Flashcards
√x^2 =
|x|
n√x = ? when n is even
|x|
n√x = ? when n is odd
x
√x is not equal to int, then x is
not a perfect square
What is radical of √4?
√
Multiplying radicals rule
n√a * n√b = n√ab; a, b must be non-negative
Dividing radicals rule
n√a / n√b = n√a/b; a must be non-negative and b must be positive
What is radicand of √4?
4
What is index of √4?
2
is √(a+b) = √a + √b?
NO
is √(a-b) = √a - √b?
NO
a√x + b√x =
a+b√x
√(x+1)^2 =
|x+1|
x^k = x^m; is k=m?
only if x ≠ 0, 1 or -1
x^-1 = ?
1/x
(x/y)^-n =
(y/x)^n
is (x+y)^2 = x^2 + y^2?
NO
3^a = 3^4 where a = (x+2)^2, what is x =
x=0 or x= -4
3^n + 3^n + 3^n =?
3(3^n)
How to compare fractions having exponents?
Use LCD
0<x<1; x^2 > √x?
NO
Scientific Notation = ?
a + 10^b; a = coefficient, b = int
Estimate the difference between base raised to consecutive positive exponents like 7^7 - 7^8?
Difference will be way higher.
