Question 1 (multiple choice)

(mc)

rewrite the radical as a rational exponent.

the fourth root of 7 to the fifth power

7 to the 5 over 4 power

720

7

7 to the 4 over 5 power



question 2 (multiple choice)

(mc)

rewrite the rational exponent as a radical by extending the properties of integer exponents.

2 to the 7 over 8 power, all over 2 to the 1 over 4 power

the eighth root of 2 to the fifth power

the fifth root of 2 to the eighth power

the square root of 2 to the 5 over 8 power

the fourth root of 2 to the sixth power



question 3 (multiple choice)

(mc)

a rectangle has a length of the cube root of 81 inches and a width of 3 to the 2 over 3 power inches. find the area of the rectangle.

3 to the 2 over 3 power inches squared

3 to the 8 over 3 power inches squared

9 inches squared

9 to the 2 over 3 power inches squared



question 4 (multiple choice)

(mc)

explain how the quotient of powers was used to simplify this expression.

5 to the fourth power, over 25 = 52

by simplifying 25 to 52 to make both powers base five and subtracting the exponents

by simplifying 25 to 52 to make both powers base five and adding the exponents

by finding the quotient of the bases to be one fifth and cancelling common factors

by finding the quotient of the bases to be one fifth and simplifying the expression



question 5 (multiple choice)

(mc)

rewrite the rational exponent as a radical expression.

3 to the 2 over 3 power, to the 1 over 6 power

the sixth root of 3

the ninth root of 3

the eighteenth root of 3

the sixth root of 3 to the third power