Exponent And Radicals

Question 1

What is x raised to the first power? Ex. ( 5^1)

Answer 1

X. Or 5 in this case

Question 2

What is x raised to the 0 power?

Answer 2

1

Question 3

What do you do when multiplying two expressions with the same base? Ex, (3^4*3^5)

Answer 3

Add the exponents. 3^9

Question 4

What do you do when dividing two expressions? 3^7/3^4?

Answer 4

Subtract the exponents. 3^3

Question 5

What do you do when there’s an exponent on the outside of the parentheses of two variables? (Xy)^m?

Answer 5

Raise each variable to the exponent and then multiply them. X^m*y^m

Question 6

What do you do when you have a negative exponent in an expression? X^-m

Answer 6

Flip the reciprocal and switch the signs. 1/x^m

Question 7

How can you denote the nth-root using the equivalent fractional exponent? Cube root of x^2

Answer 7

Turn the square root into a fractional exponent. The number the variable is raised to is on top of the fraction and the number it is square rooted to is on the bottom. x^2/3

Question 8

What do you do when there’s an expression and an exponent outside of that expression? (X^m)^n

Answer 8

Multiply the exponents together. X^mn