Big Ideas Math: Modeling Real Life, Grade 8
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4. Zero and Negative Exponents
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Exercise 27 Page 342

5b

Practice makes perfect
To simplify the given exponential expression, we will use one of the Properties of Exponents, the Quotient of Powers Property.

Quotient of Powers Property

To divide powers with the same base, subtract their exponents.

Let's simplify the given expression using this property.
5b^(- 2)/b^(- 3)
5* b^(- 2)/b^(- 3)
5b^(- 2 - (- 3))
5b^1
5b