Simplify the radical expressions in Exercises 67–74, if possible. ⁵√64x⁶/⁵√2x

In Exercises 69–82, simplify each complex rational expression. (1/x + 1/y)/(x+y)

Perform the indicated operations. Write the resulting polynomial in standard form and indicate its degree. $(-6x^3+7x^2-9x+3)+(14x^3+3x^2-11x-7)$

In Exercises 67–82, find each product. (9x+7y)²

In Exercises 65–92, factor completely, or state that the polynomial is prime. 6x²−6x−12

Write each number in decimal notation without the use of exponents. $-3.14\times {10}^{-3}$

State the name of the property illustrated. 6+(−4)=(−4)+6

Find each product : $(3x-2)(4x^2+3x-5)$

Add or subtract terms whenever possible. $4\sqrt[5]{2} + 3\sqrt[5]{2}$

In Exercises 65–92, factor completely, or state that the polynomial is prime. 9x³−9x

Write each number in decimal notation without the use of exponents. $-7.00001\times {10}^{10}$

State the name of the property illustrated. 6+(2+7)=(6+2)+7

Find each product : (4x+5)(4x-5)

In Exercises 69–82, simplify each complex rational expression. (3/(x−2) − 4/(x+2))/(7/x²−4)

In Exercises 67–82, find each product. (x−y)(x²+xy+y²)

In Exercises 77–86, write each number in scientific notation. 64,000

In Exercises 65–92, factor completely, or state that the polynomial is prime. x³+2x²−4x−8

In Exercises 75–82, add or subtract terms whenever possible. ³√54xy³−y³√128x

Write each number in scientific notation. 579,000,000,000,000,000

State the name of the property illustrated. 7⋅(11⋅8)=(11⋅8)⋅7

In Exercises 69–82, simplify each complex rational expression. (1/(x+h)² − 1/x²)/h

In Exercises 67–82, find each product. (7xy²−10y)(7xy²+10y)

Add or subtract terms whenever possible. √3+³√15

Perform the indicated operations. Indicate the degree of the resulting polynomial. $(7x^2-8xy+y^2)+(-8x^2-9xy-4y^2)$

Write each number in scientific notation. −3829

Perform the indicated operations. Indicate the degree of the resulting polynomial. $(13x^3{y}^2-5x^{2}y-9x^2)-(-11x^3{y}^2-6x^{2}y+3x^2-4)$

Evaluate each expression without using a calculator. 36^1/2

In Exercises 65–92, factor completely, or state that the polynomial is prime. 20y⁴−45y²

In Exercises 83–90, perform the indicated operation or operations. (3x+4y)²−(3x−4y)²

State the name of the property illustrated. 1/(x+3) (x+3)=1, x≠−3