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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

Practice Test

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Exercise 7 Page 366

Use the Product of Powers Property and the Quotient of Powers Property.

(- 3.5)^6

To simplify the given exponential expression, we will use two Properties of Exponents. The first one is the Product of Powers Property.

Product of Powers Property
To multiply powers with the same base, add their exponents.

We will also use 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 these properties.

(- 3.5)^(13) * (- 3.5)^2/(- 3.5)^9

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

(- 3.5)^(13 + 2)/(- 3.5)^9

Add terms

(- 3.5)^(15)/(- 3.5)^9

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

(- 3.5)^(15 - 9)

Subtract term

(- 3.5)^6