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Envision Math 2.0: Grade 8, Volume 1

EM

Envision Math 2.0: Grade 8, Volume 1 View details

7. More Properties of Integer Exponents

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Exercise 19 Page 50

What does the Product of Powers Property say? How about the Negative Exponent Property?

1/x^4

Practice makes perfect

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
a^m * a^n=a^(m+n), for any nonzero numbers a, m, n

We will also use the Negative Exponent Property.

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

Let's simplify the given expression using these properties.

x^(- 10) * x^6

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

x^(- 10+6)

Add terms

x^(- 4)

NegExponentToFrac

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

1/x^4

Subchapter links

Do You Understand? p.48

Do You Know How? p.48

Practice & Problem Solving p.49-50

Assessment Practice p.50