Simplifying hairy exponent expressions | Summary and Q&A

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March 3, 2016
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Khan Academy
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Simplifying hairy exponent expressions

TL;DR

Learn how to simplify exponential expressions by applying exponent properties and combining like terms.

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Questions & Answers

Q: How do you simplify an exponential expression with the same base?

To simplify an exponential expression with the same base, add the exponents and keep the base the same.

Q: How do you simplify an exponential expression with division?

To simplify an exponential expression with division, subtract the exponents and keep the base the same.

Q: What is the value of a negative exponent?

A negative exponent of a number is equal to the reciprocal of the base raised to the positive exponent.

Q: Can you simplify an exponential expression further?

Simplification of exponential expressions might vary based on simplicity preference. However, applying exponent properties and combining like terms can result in a simpler expression.

Summary & Key Takeaways

  • Exponents with the same base can be simplified by adding their exponents.

  • Division of exponents can be simplified by subtracting the exponents.

  • Taking the negative exponent of a base is equivalent to finding the reciprocal of the base raised to the positive exponent.

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