Evaluate 2^(-3): animated lesson

1. 1. The problem
   Worked example

   ${2}^{-3}$
2. 2. Step by step
   1. $${2}^{-3}$$
      Read the expression
   2. $${2}^{-3} = \frac{1}{8}$$
      Simplify exactly
   3. $${2}^{-3} = \frac{1}{8} \approx 0.125$$
      Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
3. 3. The answer
   $$\frac{1}{8} \approx 0.125$$

   2^(-3) = 1/8 ≈ 0.125

4. 4. Check
   • ✓Decimal value: 0.125

Evaluate expressions with brackets, powers, multiplication, division, addition and subtraction in the right order.

• Video lesson

  6 + 12 × (4 - 9) / 7

  ▶0:58
  ArithmeticElementary school7 steps

  Evaluate 6 + 12 × (4 - 9) / 7

  Order of operations

• Video lesson

  $-{3}^{2}$

  ▶0:33
  ArithmeticElementary school3 steps

  Evaluate -3²

  Order of operations

• Video lesson

  ${64}^{\frac{1}{3}}+{81}^{\frac{1}{4}}$

  ▶0:34
  ArithmeticElementary school2 steps

  Evaluate 64^(1/3) + 81^(1/4)

  Order of operations

• Video lesson

  20 + 6 / 7 × 12

  ▶0:45
  ArithmeticElementary school4 steps

  Evaluate 20 + 6 / 7 × 12

  Order of operations

• Video lesson

  2/8 × 2*1 × 11

  ▶0:47
  ArithmeticElementary school5 steps

  Evaluate 2/8 × 2*1 × 11

  Order of operations

• Video lesson

  $\frac{{\left(13-11\right)}^{2}}{1}+8$

  ▶0:32
  ArithmeticElementary school2 steps

  Evaluate (13 - 11)² / 1 + 8

  Order of operations

• All order of operations lessons
• Browse the whole lesson library
• Make a lesson from your own problem
• Step-by-step solver: check your own answer.