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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

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Nov 14, 2012
Negative Exponents
by: Staff


Answer

You 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
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