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Exponents and rootsArithmeticMiddle schoolabout 0:38

Evaluate 10^-2: animated lesson

A narrated, step-by-step exponents and roots video lesson with captions. Final answer: 1/100 ≈ 0.01.

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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
${10}^{-2}$
2. Step by step
1. ${10}^{-2}$
  Read the expression
2. ${10}^{-2} = \frac{1}{100}$
  Simplify exactly
3. ${10}^{-2} = \frac{1}{100} \approx 0.01$
  Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
3. The answer
$\frac{1}{100} \approx 0.01$
10^-2 = 1/100 ≈ 0.01
4. Check
- Decimal value: 0.01

Transcript

The problem. Here is the problem: 10 to the power negative 2. Evaluate a numerical expression.

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

The answer. So the answer is 1 over 100 approximately 0.01. 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: 0.01.

About exponents and roots

Evaluate powers, square roots and cube roots, and apply the laws of exponents.

Evaluate 10^-2: Exponents and roots Step-by-Step Lesson