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Vika [28.1K]
3 years ago
7

Evaluate each expression. (25^-3/2)^1/3

Mathematics
1 answer:
julsineya [31]3 years ago
7 0

The result can be shown in multiple forms.

Exact Form:

1 /5

5

Decimal Form:

0.2

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Answer: -8^4

Step-by-step explanation:

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Change the fraction w-3/w+5 into an equivalent fraction with the denominator w2 + w – 20.
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ANSWER

\frac{ {w}^{2}  - 7w + 12}{ {w}^{2}  + w - 20 }

EXPLANATION


The given fraction is,

\frac{w - 3}{w + 5}

To get an equivalent fraction, we multiply both the numerator and the denominator by the same quantity that will give us

w²+w-20

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This implies that,

\frac{w - 3}{w + 5}  =  \frac{(w - 3)(w - 4)}{(w + 5)(w - 4)}

We multiply out the numerators and denominators using the distributive property to obtain,


\frac{w - 3}{w + 5}  =  \frac{ {w}^{2}  - 4w - 3w + 12}{ {w}^{2} - 4w + 5w - 20 }

This simplifies to

\frac{w - 3}{w + 5}  =  \frac{ {w}^{2}  - 7w + 12}{ {w}^{2}  + w - 20 }


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I need help with this please
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