1.
(MC)
Rewrite the rational exponent as a radical by extending the properties of integer exponents. (2 points)
2 to the 3 over 4 power, all over 2 to the 1 over 2 power
the eighth root of 2 to the third power
the square root of 2 to the 3 over 4 power
the fourth root of 2
the square root of 2
2.
(MC)
Explain how the Quotient of Powers was used to simplify this expression. (2 points)
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
3.
(MC)
Rewrite the radical as a rational exponent. (2 points)
the cube root of 2 to the seventh power
2 to the 3 over 7 power
2 to the 7 over 3 power
221
24
4.
(MC)
Rewrite the rational exponent as a radical. (2 points)
5 to the 3 over 4 power, to the 2 over 3 power
the cube root of 5 squared
the twelfth root of 5
the square root of 5
the cube root of 5 the fourth power
5.
(MC)
A rectangle has a length of the fifth root of 16 inches and a width of 2 to the 1 over 5 power inches. Find the area of the rectangle. (2 points)
2 to the 3 over 5 power inches squared
2 to the 4 over 5 power inches squared
2 inches squared
2 to the 2 over 5 power inches squared
