1e:["$","div",null,{"className":"bg-white rounded-lg shadow-md p-6","children":[["$","div",null,{"className":"flex items-center gap-2 mb-4","children":[["$","svg",null,{"className":"w-5 h-5 text-green-600","fill":"currentColor","viewBox":"0 0 20 20","children":["$","path",null,{"fillRule":"evenodd","d":"M10 18a8 8 0 100-16 8 8 0 000 16zm3.707-9.293a1 1 0 00-1.414-1.414L9 10.586 7.707 9.293a1 1 0 00-1.414 1.414l2 2a1 1 0 001.414 0l4-4z","clipRule":"evenodd"}]}],["$","h2",null,{"className":"text-xl font-bold text-gray-900","children":"Verified Answer"}]]}],["$","div",null,{"className":"prose prose-lg max-w-none break-words prose-headings:font-bold prose-headings:text-slate-900 prose-p:text-slate-700 prose-p:leading-relaxed prose-strong:text-slate-900 prose-ul:list-disc prose-ol:list-decimal prose-li:text-slate-700 [&_table]:w-auto [&_table]:max-w-full [&_table]:border-collapse [&_th]:border [&_th]:border-slate-300 [&_th]:px-3 [&_th]:py-2 [&_th]:text-left [&_td]:border [&_td]:border-slate-200 [&_td]:px-3 [&_td]:py-2 [&_table]:my-4 overflow-x-auto","children":["$","div",null,{"dangerouslySetInnerHTML":{"__html":"

(i) 6²/₃ × (-5¹/₁₆) = (20/3) × (-81/16)

⇒ (5/1) × (-27/4)

[LCM of 8 and 6 = 24]

= (-5 × 27) / (1 × 4) = -135/4 = -33³/₄

(ii) (-3¹/₄) × (-2³/₄) = (-13/4) × (-11/4)

= (-) × (-) × (13/4 × 11/4)

= (13 × 11) / (4 × 4) = 143/16 = 8¹⁵/₁₆

[∴ (-) × (-) = (+)]

"}}]}]]}]

Find the product:(i) 20/3×(-81/16)(ii)(-13/4)×(-11/4)

Verified Answer

Find the product:
(i) 20/3×(-81/16)
(ii)(-13/4)×(-11/4)