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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

5. Estimating Quantities

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Exercise 3 Page 347

What does the Negative Exponent Property say?

1/2a^5

Practice makes perfect

To simplify the given exponential expressions, we will use the Negative Exponent Property.

Negative Exponent Property
1/a^n=a^(- n), for every nonzero number a

Let's simplify the given expression using this property.

a^6/2a^(11)

FracToNegExponent

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

a^6/2a^(- 11)

MoveRightFacToNum

a/c* b = a* b/c

a^6 * a^(- 11)/2

Now we will use the Product of Powers Property. This property states that when multiplying two exponential expressions with the same base, we add the exponents.

a^6 * a^(- 11)/2

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

a^(6+(- 11))/2

a+(- b)=a-b

a^(6-11)/2

Subtract term

a^(- 5)/2

NegExponentToFrac

a^(- m)=1/a^m

1/a^5* 1/2

Multiply fractions

1/2a^5

Subchapter links

Try It p.344-345

Self-Assessment for Concepts & Skills p.345

Self-Assessment for Problem Solving p.346

Review & Refresh p.347

Concepts, Skills, & Problem Solving p.347-348