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Svetach [21]
2 years ago
12

Practice simplifying rational expressions with negative exponents.

Mathematics
1 answer:
Gelneren [198K]2 years ago
4 0

Answer:

Part 1:- option first is correct

-\frac{1}{2}ab^{12}

Part 1:- option third is correct

\frac{w^{10}}{3y^{4}}

Step-by-step explanation:

Given:

The given ration expressions are.

1. \frac{-2a^{2}b^{4}}{4ab^{-8}}

2. \frac{-5w^{4}y^{-2}}{-15w^{-6}y^{2}}

We need to simplify the given expressions.

Solution:

Part 1:-

Given expression is

=\frac{-2a^{2}b^{4}}{4ab^{-8}}

Using law of exponents \frac{x^{m} }{x^{n} } = x^{(m-n)}

=-\frac{a^{2-1}b^{4-(-8)}}{2}

=-\frac{a^{1}b^{4+8}}{2}

=-\frac{ab^{12}}{2}

=-\frac{1}{2}ab^{12}

Therefore, option first -\frac{1}{2}ab^{12} is correct.

Part 2:-

Given expression is.

=\frac{-5w^{4}y^{-2}}{-15w^{-6}y^{2}}

Using law of exponents \frac{x^{m} }{x^{n} } = x^{(m-n)}

=\frac{w^{4-(-6)}y^{-2-2}}{3}

=\frac{w^{4+6}y^{-4}}{3}

=\frac{w^{10}y^{-4}}{3}

=\frac{w^{10}}{3y^{4}}

Therefore, third option \frac{w^{10}}{3y^{4}} is correct.

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