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Viktor [21]
2 years ago
11

What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Sup

erscript negative 12 Baseline q Superscript negative 3 Baseline EndFraction in simplified form? Assume p not-equals 0, q not-equals 0.
Mathematics
1 answer:
Kitty [74]2 years ago
8 0

Answer:

-\frac{3p^8}{4q^3}

Step-by-step explanation:

\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}  can be broken down into three fractions, coefficients, powers of p, powers of q.

-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}

Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.

-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}

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