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please help… Algebra 1: (-2)^-5

Sagot :

leandragallegos

Answer:

-0.03125

Step-by-step explanation:

mahanth1112

Answer:

[tex]-\frac{1}{32}[/tex] or -0.03125

Skills needed: Exponents

Step-by-step explanation:

1) Negative exponent means 1 over if it was positive:

[tex]2^{-2} = \frac{1}{2^2}[/tex]

In this case: [tex]-2^{-5}=\frac{1}{(-2)^5}[/tex]

2) Let's expand the [tex](-2)^5[/tex] part:

Remember that the exponent (the smaller number in the top-right) shows how many times the base (bigger number) is multiplied by itself.

In this case:

[tex](-2)^5[/tex] = [tex]-2*-2*-2*-2*-2[/tex]

We know that: [tex]-2*-2=4[/tex]

So the above simplifies into: [tex]4 * 4 * -2[/tex] = [tex]16*-2[/tex] = [tex]-32[/tex]

3) That is the denominator in the fraction:

[tex]\frac{1}{-32}[/tex] which is [tex]-\frac{1}{32}[/tex]

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