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Yuri [45]
3 years ago
15

-336x2y3 Reduce to lowest terms

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:

-\frac{42y}{x}

Step-by-step explanation:

Apply the fraction rule: \frac{-a}{b}=-\frac{a}{b}

=-\frac{336x^2y^3}{8x^3y^2}

Divide the numbers: \frac{336}{8} =42

=\frac{42x^2y^3}{x^3y^2}

Apply the exponent rule: \frac{x^a}{x^b}=\frac{1}{x^{b-a}}

\frac{x^2}{x^3}=\frac{1}{x^{3-2}}

=\frac{42y^3}{y^2x^{3-2}}

Subtract the numbers: \:3-2=1

=\frac{42y^3}{xy^2}

Apply the exponent rule: \frac{x^a}{x^b}=x^{a-b}

\frac{y^3}{y^2}=y^{3-2}

=\frac{42y^{3-2}}{x}

Subtract the numbers: 3-2=1

=-\frac{42y}{x}

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