Mathematics

Caroline Watson

26 August, 04:44

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.

a. 3 to the 2 over 3 power inches squared

b. 3 to the 8 over 3 power inches squared

c. 9 inches squared

d. 9 to the 2 over 3 power inches squared

2.) Explain how the Quotient of Powers was used to simplify this expression.

2 to the fifth power, over 8 = 2 to the 2nd power

a. By finding the quotient of the bases to be one fourth and cancelling common factors

b. By finding the quotient of the bases to be one fourth and simplifying the expression

c. By simplifying 8 to 23 to make both powers base two and subtracting the exponents

d. By simplifying 8 to 23 to make both powers base two and adding the exponents

3.) The cube root of 2 to the seventh power

a. 2 to the 3 over 7 power

b. 2 to the 7 over 3 power

c. 2^21

d. 2^4