{"id":39072,"date":"2025-06-26T19:01:20","date_gmt":"2025-06-26T19:01:20","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=39072"},"modified":"2025-06-26T19:01:21","modified_gmt":"2025-06-26T19:01:21","slug":"729-power-3-729-close-divided-by-3-power-8","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/729-power-3-729-close-divided-by-3-power-8\/","title":{"rendered":"(729 power 3 \/ 729) close divided by 3 power 8"},"content":{"rendered":"\n
(729 power 3 \/ 729) close divided by 3 power 8<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n
Let’s solve the expression step by step:<\/p>\n\n\n\n
\u2705 Final Answer: 81<\/strong><\/h3>\n\n\n\n\n\n\n\n
Explanation:<\/h3>\n\n\n\n
The problem involves simplifying a compound expression using the rules of exponents. The original expression is: (7293729)\u00f738\\left(\\frac{729^3}{729}\\right) \\div 3^8(7297293\u200b)\u00f738<\/p>\n\n\n\n
The first part is a fraction where the same base number is raised to a power in the numerator and without a power in the denominator. When dividing terms with the same base, you subtract the exponents. In this case: 7293729=7293\u22121=7292\\frac{729^3}{729} = 729^{3 – 1} = 729^27297293\u200b=7293\u22121=7292<\/p>\n\n\n\n
To proceed, we need to express 729 in terms of a prime base. The number 729 is a power of 3. By calculating or knowing from experience: 36=7293^6 = 72936=729<\/p>\n\n\n\n
So: 7292=(36)2=36\u00d72=312729^2 = (3^6)^2 = 3^{6 \\times 2} = 3^{12}7292=(36)2=36\u00d72=312<\/p>\n\n\n\n
Now, the full expression becomes: 312\u00f7383^{12} \\div 3^8312\u00f738<\/p>\n\n\n\n
Again, when dividing exponents with the same base, subtract the exponents: 312\u22128=343^{12 – 8} = 3^4312\u22128=34<\/p>\n\n\n\n
This shows how simplifying powers using exponent laws helps reduce complex expressions to basic numbers. The final answer is 81<\/strong>.<\/p>\n\n\n\n<\/figure>\n","protected":false},"excerpt":{"rendered":"
(729 power 3 \/ 729) close divided by 3 power 8 The Correct Answer and Explanation is: Let’s solve the expression step by step: Given: (7293729)\u00f738\\left(\\frac{729^3}{729}\\right) \\div 3^8(7297293\u200b)\u00f738 Step 1: Simplify the fraction inside the parentheses 7293729=7293\u22121=7292\\frac{729^3}{729} = 729^{3 – 1} = 729^27297293\u200b=7293\u22121=7292 Step 2: Express 729 as a power of 3 729=36729 = 3^6729=36 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-39072","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39072","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=39072"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39072\/revisions"}],"predecessor-version":[{"id":39074,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/39072\/revisions\/39074"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=39072"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=39072"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=39072"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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