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Exponent power law simplification

This math skill teaches how to simplify expressions where an exponent is raised to another exponent by multiplying the two exponents together.

Skill Practice

Exponent power law simplification

Test your understanding of exponent power law simplification by practicing it! Work through the below exercises to use it in practice.

  • Exponents - Power Law with Variable Base (Positives, Exponent with Power to Exponent)
  • Exponents - Power Law with Variable Base (Positives, Expanded to Exponent)
  • Exponents - Power Law with Prime Base (Positives, Exponent with Power to Exponent)
  • Exponents - Power Law with Prime Base (Positives, Expanded to Exponent)
  • Exponents - Power Law with Composite Base (Positives, Exponent with Power to Exponent)
  • Exponents - Power Law with Composite Base (Positives, Expanded to Exponent)
  • Exponents - Power Law - Exponent Base with Variable Power to Composite Base with Unknown Power
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Teaching Transcript

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What is 'R' to the power of 4, raised to the power of 2?

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Expanding the exponent, we can see that that is 'R' to the power of 4, times 'R' to the power of 4

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Which is 'R' to the power of 8

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When an exponent is raised to an exponent, you can multiply the powers