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Mastering Division Properties of Exponents in Algebra

Learn how to divide powers with the same base by subtracting exponents, simplify algebraic expressions, divide numbers in scientific notation, and raise a quotient to a power. Practice simplifying exponential expressions effectively.

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Mastering Division Properties of Exponents in Algebra

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  1. 7-4 Division Properties of Exponents

  2. Dividing Powers With the Same Base • To divide powers with the same base, subtract the exponents. , where , and m and n are rational numbers

  3. Problem 1: Dividing Algebraic Expressions What is the simplified form of each expression?

  4. Problem 2: Dividing Numbers in Scientific Notation Simplify each quotient. Write each answer in scientific notation.

  5. Simplify each quotient. Write each answer in scientific notation.

  6. Raising a Quotient to a Power • To raise a quotient to a power, raise the numerator and denominator to the power and simplify , where and n is a rational number

  7. Problem 3: Raising a Quotient to a Power What is the simplified form:

  8. Problem 4: Simplifying an Exponential Expression What is the simplified form?

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