Which expression is equivalent to $$\frac{c^8\left(d^6\right)^3}{c^2}$$ for all values of $$c$$ for which the expression is defined? the expression is defined?


<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea>Which expression is equivalent to $$\frac{c^8\left(d^6\right)^3}{c^2}$$ for all values of $$c$$ for which the expression is defined? the expression is defined?
</textarea>Which expression is equivalent to <math><semantics><mrow><mfrac><mrow><msup><mi>c</mi><mn>8</mn></msup><msup><mrow><mo fence="true">(</mo><msup><mi>d</mi><mn>6</mn></msup><mo fence="true">)</mo></mrow><mn>3</mn></msup></mrow><mrow><msup><mi>c</mi><mn>2</mn></msup></mrow></mfrac></mrow><annotation encoding="application/x-tex">\frac{c^8\left(d^6\right)^3}{c^2}</annotation></semantics></math>​c​2​​​​c​8​​(d​6​​)​3​​​​ for all values of <math><semantics><mrow><mi>c</mi></mrow><annotation encoding="application/x-tex">c</annotation></semantics></math>c for which the expression is defined? the expression is defined?
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea>Answer
$$ \frac{c^8\left(d^6\right)^3}{c^2} $$
$$ =\frac{c^8 d^{18}}{c^2} $$
$$ =c^{8-2} d^{18} $$
$$ =c^6 d^{18} $$

</textarea>Answer <math><semantics><mrow><mfrac><mrow><msup><mi>c</mi><mn>8</mn></msup><msup><mrow><mo fence="true">(</mo><msup><mi>d</mi><mn>6</mn></msup><mo fence="true">)</mo></mrow><mn>3</mn></msup></mrow><mrow><msup><mi>c</mi><mn>2</mn></msup></mrow></mfrac></mrow><annotation encoding="application/x-tex"> \frac{c^8\left(d^6\right)^3}{c^2} </annotation></semantics></math>​c​2​​​​c​8​​(d​6​​)​3​​​​ <math><semantics><mrow><mo>=</mo><mfrac><mrow><msup><mi>c</mi><mn>8</mn></msup><msup><mi>d</mi><mrow><mn>1</mn><mn>8</mn></mrow></msup></mrow><mrow><msup><mi>c</mi><mn>2</mn></msup></mrow></mfrac></mrow><annotation encoding="application/x-tex"> =\frac{c^8 d^{18}}{c^2} </annotation></semantics></math>=​c​2​​​​c​8​​d​18​​​​ <math><semantics><mrow><mo>=</mo><msup><mi>c</mi><mrow><mn>8</mn><mo>−</mo><mn>2</mn></mrow></msup><msup><mi>d</mi><mrow><mn>1</mn><mn>8</mn></mrow></msup></mrow><annotation encoding="application/x-tex"> =c^{8-2} d^{18} </annotation></semantics></math>=c​8−2​​d​18​​ <math><semantics><mrow><mo>=</mo><msup><mi>c</mi><mn>6</mn></msup><msup><mi>d</mi><mrow><mn>1</mn><mn>8</mn></mrow></msup></mrow><annotation encoding="application/x-tex"> =c^6 d^{18} </annotation></semantics></math>=c​6​​d​18​​
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