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Exponents and rootsArithmeticMiddle schoolabout 0:38

Evaluate 5^3 - 3^5: animated lesson

A narrated, step-by-step exponents and roots video lesson with captions. Final answer: -118.

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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
${5}^{3}-{3}^{5}$
2. Step by step
1. ${5}^{3}-{3}^{5}$
  Read the expression
2. ${5}^{3}-{3}^{5} = -118$
  Simplify exactly
3. ${5}^{3}-{3}^{5} = -118$
  Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
3. The answer
$-118$
5^3 - 3^5 = -118
4. Check
- Decimal value: -118

Transcript

The problem. Here is the problem: 5 cubed minus 3 to the power 5. 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 negative 118. 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: negative 118.

About exponents and roots

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

Evaluate 5^3 - 3^5: Exponents and roots Step-by-Step Lesson