Simplify the radical expression. 4∛16 + 5∛2

Evaluate each algebraic expression for x = 2 and y= -5. |x+y|

Simplify the radical expressions in Exercises 58 - 62. ∜(32x⁵)/∜(16x) (Assume that x > 0.)

In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (7x⁴y²−5x²y²+3xy)+(−18x⁴y²−6x²y²−xy)

Evaluate each algebraic expression for x = 2 and y = -5. |x|+|y|

Evaluate each expression 16^1/2.

Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. ⁵√(−3)⁵

In Exercises 57–64, factor using the formula for the sum or difference of two cubes. 8x^3+125

In Exercises 33–68, add or subtract as indicated. x/(x²−2x−24) − x/(x²−7x+6)

Evaluate each expression 125^1/3.

In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. (3x⁴ y²+5x³ y−3y)−(2x⁴ y²−3x³ y−4y+6x)

Factor completely, or state that the polynomial is prime. $5x^3-45x$

Write each number in decimal notation without the use of exponents. $9.2\times {10}^2$

Evaluate each expression in Exercises 55–66, or indicate that the root is not a real number. $\sqrt[6]{\frac{1}{64}}$

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 2 and 17

In Exercises 33–68, add or subtract as indicated. (4x²+x−6)/(x²+3x+2)−3x/(x+1)+5/(x+2)

Simplify the radical expressions in Exercises 67–74, if possible. ³√150

Evaluate each expression 27^(-4/3)

In Exercises 65–92, factor completely, or state that the polynomial is prime. 2x⁴−162

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. −2 and 5

In Exercises 69–82, simplify each complex rational expression. (x/3−1)/(x−3)

Simplify using properties of exponents. $\left(5x^{\frac{2}{3}}\right)\left(4x^{\frac{1}{4}}\right)$

Write each number in decimal notation without the use of exponents. $-8.17\times {10}^6$

In Exercises 67–82, find each product. (3x−y)(2x+5y)

Simplify the radical expressions in Exercises 67–74, if possible. ³√9⋅³√6

In Exercises 65–92, factor completely, or state that the polynomial is prime. x³+2x²−9x−18

Simplify by reducing the index of the radical : $\sqrt[6]{y^3}$

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. -26 and -3

In Exercises 67–82, find each product. (7x² y+1)(2x² y−3)