1Cademy - Finding the Quotient $$-63c^8d^3 \div (7c^{12}d^2)$$

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Dividing Monomials

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Finding the Quotient $-63c^8d^3 \div (7c^{12}d^2)$

Divide two monomials that contain multiple variables: $-63c^8d^3 \div (7c^{12}d^2)$ .

Step 1 — Rewrite as a fraction. $\frac{-63c^8d^3}{7c^{12}d^2}$

Step 2 — Separate using fraction multiplication. $\frac{-63}{7} \cdot \frac{c^8}{c^{12}} \cdot \frac{d^3}{d^2}$

Step 3 — Simplify and use the Quotient Property. For the coefficients: $\frac{-63}{7} = -9$ . For $c$ : $\frac{c^8}{c^{12}} = \frac{1}{c^4}$ . For $d$ : $\frac{d^3}{d^2} = d$ . Combining these gives: $-9 \cdot \frac{1}{c^4} \cdot d$ .

Step 4 — Multiply. $-\frac{9d}{c^4}$

The quotient is $-\frac{9d}{c^4}$ .

Updated 2026-04-29

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OpenStax Intermediate Algebra

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Intermediate Algebra @ OpenStax

Ch.5 Polynomials and Polynomial Functions - Intermediate Algebra @ OpenStax

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