Simplify each exponential expression: $(-5x^3{y}^2)(-2x^{-11}{y}^{-2})$

In Exercises 15–32, multiply or divide as indicated. (x²−4)/(x²+3x−10) ÷ (x²+5x+6)/(x²+8x+15)

Use the quotient rule to simplify the expressions in Exercises 23–32. Assume that x > 0. √24x^4/√3x

In Exercises 15–58, find each product. (7x³+5)(x²−2)

Find the union of the sets. {1,3,5,7}∪{2,4,6,8,10}

Simplify each exponential expression in Exercises 23–64. $(x^{11}{)}^5$

In Exercises 15–32, multiply or divide as indicated. (x³−25x)/4x² ⋅ (2x²−2)/(x²−6x+5) ÷ (x²+5x)/(7x+7)

Find each product. (x+5)(x−5)

Use the quotient rule to simplify the expressions in Exercises 23–32. Assume that x > 0. √500x³/√10x^-1

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 9x²+5x−4

Write each number in decimal notation: 7.45*10^(-5)

In Exercises 33–44, add or subtract terms whenever possible. 8√5+11√5

Find the union of the sets. {e,m,p,t,y} ∪ ∅

Add or subtract as indicated. (3x+2)/(3x+4) + (3x+6)/(3x+4)

Write each number in scientific notation. 3,590,000

List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. {-9, -4/5, 0, 0.25, √3, 9.2, √100}

Find each product. (5−7x)(5+7x)

Simplify each exponential expression in Exercises 23–64. $x^{14}/x^7$

Add or subtract terms whenever possible. $4\sqrt{13x} - 6\sqrt{13x}$

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 3x²+4xy+y²

Perform the indicated operation and write the answer in decimal notation.$(3\times {10}^3)(1.3\times {10}^2)$

List all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. {-11, -5/6, 0, 0.75, √5, π, √64}

Add or subtract as indicated. (4x−10)/(x−2) − (x−4)/(x−2)

In Exercises 15–58, find each product. (4x²+5x)(4x²−5x)

Factor each trinomial, or state that the trinomial is prime. $6x^2-7xy-5y^2$

Simplify each exponential expression in Exercises 23–64. $\frac{x^{30}}{x^{-10}}$

In Exercises 15–58, find each product. (1−y⁵)(1+y⁵)

In Exercises 39–48, factor the difference of two squares. x^2−144

In Exercises 33–68, add or subtract as indicated. 5/x + 3