Multiply or divide as indicated. 44.4788÷5.27

Calculate each value mentally. (20^3/2)/(5^3/2)

The special products can be used to perform selected multiplications.

On the left, we use (x+y)(x-y) = x²-y². On the right, (x-y)² = x²-2xy+y².

Use special products to evaluate each expression. 71²

Answer each question. If the lengths of the sides of a cube are tripled, by what factor will the volume change?

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4t^-2+8t^-4

Identify the property illustrated in each statement. Assume all variables represent real numbers. (7.5-y)+0=7.5-y

Perform the indicated operations. Assume all variables represent positive real numbers. 4√3(√7 - 2√11)

Multiply or divide as indicated. 785.91 * 10

Perform the indicated operations. Assume all variables represent positive real numbers. (√2 + 3) (√2 - 3)

Identify the property illustrated in each statement. Assume all variables represent real numbers. 5(t+3) = (t+3)∙5

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 9z^-1/2+2z^1/2

Multiply or divide as indicated. 57.116 × 100

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8.

$3m^{\frac{2}{3}}-4m^{-\frac{1}{3}}$

Perform the indicated operations. Assume all variables represent positive real numbers. (∛11 - 1) (∛11² + ∛11 +1)

Multiply or divide as indicated. 0.094 × 1000

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 6r^-2/3-5r^-5/3

Identify the property illustrated in each statement. Assume all variables represent real numbers. (38+99) +1 = 38+(99+1)

Multiply or divide as indicated. 1.62÷10

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. -4a^-2/5+16a^-7/5

Perform the indicated operations. Assume all variables represent positive real numbers. (√3 + √8)²

Identify the property illustrated in each statement. Assume all variables represent real numbers. 5𝜋 is a real number.

Perform the indicated operations. Assume all variables represent positive real numbers. (3√2 + √3) (2√3 - √2)

Multiply or divide as indicated. 124.03 ÷ 100

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8.

$(3r+1{)}^{-\frac{2}{3}}+(3r+1{)}^{\frac{1}{3}}+(3r+1{)}^{\frac{4}{3}}$

Multiply or divide as indicated. 23.29÷1000

Perform the indicated operations and/or simplify each expression. Assume all variables represent positive real numbers. 5/√2

Simplify each expression. $\frac{10}{11} (22z)$

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 2(3x+1)^-3/2+4(3x+1)^-1/2+6(3x+1)^1/2

Simplify each expression. (3/4r)(-12)

Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8.

$7(5t+3{)}^{-\frac{5}{3}}+14(5t+3{)}^{-\frac{2}{3}}-21(5t+3{)}^{\frac{1}{3}}$