  Distributive Property with Negative Exponents

by Demi
(Washington)

Negative Exponents

In Saxon, Algebra 1, second edition, lesson 42, problem 26, it gives me the following equation:

-(-2)⁻³ * -2 - (-2)² * 4

How do I solve the beginning of the problem with the negative exponent?

If it was alone, I'd do the following:

-(-2)⁻³ = 1/-(-2)³ = 1/8?? (I think I did that right.)

But what do I do w/ it using the distributive property? Is it 1/8 multiplied by the rest of the problem?? If so, how'd I do that?

Thx!!

Comments for Distributive Property with Negative Exponents

 Nov 14, 2012 Negative Exponents by: Staff AnswerYou are correct.-(-2)⁻³ = (-1) * (-2)⁻³ = (-1) / (-2)³ = (-1) / [(-2) * (-2) * (-2)]= (-1) / (-8)= ⅛----------------------The distributive property is not used in this problem.The Distributive Property combines the following two operations in mathematics: multiplication and addition . It is formally defined as "the distribution of multiplication over addition".It is used to simplify an expression containing parentheses to an expression without parentheses.For example:4x⁻²(2x² + x³)= 4x⁻² * 2x² + 4x⁻² * x³= 4*2*x⁽⁻²⁺²⁾ + 4*x⁽⁻²⁺³⁾= 4*2*x⁰ + 4*x¹= 4*2*1 + 4*x= 8 + 4x Thanks for writing. Staff www.solving-math-problems.com