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5.1 Properties of Exponents

Learn about the different properties of exponents, including the power of a power, power of a product, quotient of powers, and the zero exponent rule. Practice simplifying expressions and rewriting them using division property of exponents.

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5.1 Properties of Exponents

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  1. 5.1 Properties of Exponents • Exponents mean repeated multiplication Exponent 23= 222 Power Base

  2. Product of Powers Property ex) ex)

  3. The Power of a Power Property ex) ex) ex)

  4. Power of a Product ex) ex)

  5. Write each expression with positive exponents only. Negative Exponents in Numerators and Denominators and ex) ex)

  6. Use the Zero-Exponent Rule The Zero-Exponent Property ex) ex)

  7. Divide by using the Quotient Rule The Quotient of Powers Property ex)

  8. Simplify by using the Quotient of Powers Rule The Power of Quotient Property ex)

  9. Exercise 1 Practice simplifying expressions.

  10. Exercise 2 Use the division property of exponents to rewrite each expression with a single exponent.

  11. Exercise 3 Simplify the expression.

  12. Simplify. ex) ex) ex)

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