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Order of operationsArithmeticElementary schoolabout 0:34

Evaluate 2^3^2: animated lesson

A narrated, step-by-step order of operations video lesson with captions. Final answer: 512.

SpeedLanguage

Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.2 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
${2}^{{3}^{2}}$
2. Step by step
1. ${2}^{{3}^{2}}$
  Read the expression
2. ${2}^{{3}^{2}} = 512$
  Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
3. The answer
$512$
2^3^2 = 512
4. Check
- Decimal value: 512

Transcript

The problem. Here is the problem: 2 cubed squared. Evaluate a numerical expression.

Step by step. Read the expression. Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction).

The answer. So the answer is 512. Operations are applied in the standard order: parentheses, exponents, multiplication and division from left to right, then addition and subtraction from left to right.

Check. Decimal value: 512.

About order of operations

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

Evaluate 2^3^2: Order of operations Step-by-Step Lesson