9:{"metadata":[["$","title","0",{"children":"IIM-K (BMSAT) 2025 (QA) - If x^1/12=49^1/24, the value of x is: | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined Looking at this equation, I need to find the value of x when x^1/12=49^1/24.

Since I want to isolate x, and x currently has an exponent of 1/12, I'll raise both sides to the power of 12. Starting with: x^1/12=49^1/24 Raise both sides to the power of 12: (x^1/12)^12 = (49^1/24)^12

Simplifying the <=ft side: (x^1/12)^12 = x^1/12 12 = x^1 = x Simplifying the right side: (49^1/24)^12 = 49^1/24 12 = 49^12/24 = 49^1/2

49^1/2 means the square root of 49. Since 7 7 = 49, we know that sqrt(49) = 7 Therefore: 49^1/2 = 7

The answer is x = 7."}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"IIM-K (BMSAT),QA,Algebra,Indices"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"IIM-K (BMSAT) 2025 (QA) - If x^1/12=49^1/24, the value of x is: | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined Looking at this equation, I need to find the value of x when x^1/12=49^1/24.

Simplifying the <=ft side: (x^1/12)^12 = x^1/12 12 = x^1 = x Simplifying the right side: (49^1/24)^12 = 49^1/24 12 = 49^12/24 = 49^1/2

49^1/2 means the square root of 49. Since 7 7 = 49, we know that sqrt(49) = 7 Therefore: 49^1/2 = 7

The answer is x = 7."}],["$","meta","9",{"property":"og:url","content":"https://www.afterboards.in/ipmat-jipmat-past-year-questions/iimk-bmsat-bmsat-2025/QA/20"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | IPMAT Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20IPMAT%20JIPMAT%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"IIM-K (BMSAT) 2025 (QA) - If x^1/12=49^1/24, the value of x is: | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined Looking at this equation, I need to find the value of x when x^1/12=49^1/24.

Simplifying the <=ft side: (x^1/12)^12 = x^1/12 12 = x^1 = x Simplifying the right side: (49^1/24)^12 = 49^1/24 12 = 49^12/24 = 49^1/2

49^1/2 means the square root of 49. Since 7 7 = 49, we know that sqrt(49) = 7 Therefore: 49^1/2 = 7

The answer is x = 7."}],["$","meta","17",{"name":"twitter:image","content":"https://www.afterboards.in/pyp/AfterBoards%20IPMAT%20JIPMAT%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","link","18",{"rel":"shortcut icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","19",{"rel":"icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],"$L18","$L19","$L1a","$L1b","$L1c","$L1d","$L1e"],"error":null,"digest":"$undefined"}

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