Exponents and Roots

Question 1

√x^2 =

Answer 1

|x|

Question 2

n√x = ? when n is even

Answer 2

|x|

Question 3

n√x = ? when n is odd

Answer 3

x

Question 4

√x is not equal to int, then x is

Answer 4

not a perfect square

Question 5

What is radical of √4?

Answer 5

√

Question 6

Multiplying radicals rule

Answer 6

n√a * n√b = n√ab; a, b must be non-negative

Question 7

Dividing radicals rule

Answer 7

n√a / n√b = n√a/b; a must be non-negative and b must be positive

Question 8

What is radicand of √4?

Answer 8

4

Question 9

What is index of √4?

Answer 9

2

Question 10

is √(a+b) = √a + √b?

Answer 10

NO

Question 11

is √(a-b) = √a - √b?

Answer 11

NO

Question 12

a√x + b√x =

Answer 12

a+b√x

Question 13

√(x+1)^2 =

Answer 13

|x+1|

Question 14

x^k = x^m; is k=m?

Answer 14

only if x ≠ 0, 1 or -1

Question 15

x^-1 = ?

Answer 15

1/x

Question 16

(x/y)^-n =

Answer 16

(y/x)^n

Question 17

is (x+y)^2 = x^2 + y^2?

Answer 17

NO

Question 18

3^a = 3^4 where a = (x+2)^2, what is x =

Answer 18

x=0 or x= -4

Question 19

3^n + 3^n + 3^n =?

Answer 19

3(3^n)

Question 20

How to compare fractions having exponents?

Answer 20

Use LCD

Question 21

0<x<1; x^2 > √x?

Answer 21

NO

Question 22

Scientific Notation = ?

Answer 22

a + 10^b; a = coefficient, b = int

Question 23

Estimate the difference between base raised to consecutive positive exponents like 7^7 - 7^8?

Answer 23

Difference will be way higher.