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Big Ideas Math: Modeling Real Life, Grade 8 View details

Chapter Review

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Exercise 16 Page 364

Use the Quotient of Powers Property.

w^4

Practice makes perfect

We are given a numeric expression, and want to write an equivalent expression. w^8/w^7 * w^5/w^2Notice that this expression involves quotient of two powers with the same base. Therefore, we can use the Quotient of Powers Property. This property states that when dividing two exponential expressions with the same base, we subtract the exponents.

w^8/w^7 * w^5/w^2

DivPow

a^m/a^n= a^(m-n)

w^(8-7)* w^(5-2)

SubTerm

Subtract term

w^1* w^3

ExponentOne

a^1=a

w* w^3

Now, we have the product of two powers with the same base. Therefore, we can use the Product of Powers Property. This property states that when multipling two exponential expressions with the same base, we add the exponents.

w* w^3

MultPow

a^m*a^n=a^(m+n)

w^(1+3)

AddTerms

Add terms

w^4

Please note we have only shown one of many possible equivalent expressions.

Subchapter links

1 Exponents p.363

2 Product of Powers Property p.363

3 Quotient of Powers Property p.364

4 Zero and Negative Exponents p.364

5 Estimating Quantities p.365

6 Scientific Notation p.365

7 Operations in Scientific Notation p.365

Exercise 16 Page 364

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