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Pearson Algebra 1 Common Core, 2015

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Pearson Algebra 1 Common Core, 2015 View details

Chapter Test

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Exercise 1 Page 479

What does the Negative Exponent Property say? And the Product of Powers Property?

r^3/t^(12)

Practice makes perfect

To simplify the given exponential expression, we will use the Negative Exponent and Product of Powers Properties.
Negative Exponent Property a^(- n)=1/a^n, for every nonzero numbera [0.8em] and integern Product of Powers Property a^m * a^n = a^(m * n) Let's try to simplify the given expression using these properties.

r^3 t^(- 7)/t^5

SplitIntoFactors

Split into factors

r^3 * t^(- 7) * 1/t^5

NegExponentToFrac

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

r^3 * 1/t^7 * 1/t^5

Multiply fractions

r^3 * 1/t^7 * t^5

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

r^3* 1/t^(12)

MoveLeftFacToNum

a*b/c= a* b/c

r^3/t^(12)

Subchapter links

Exercises p.479