यदि \(p=2^a\times3^4\times5\times7\) और (p=45360), तो (a) का मान क्या है?
If \(p=2^a\times3^4\times5\times7\) and (p=45360), what is the value of (a)?
Explanation opens after your attempt
Correct Answer
C. 4
Step 1
Concept
Write \(45360=648\times70\).
Step 2
Why this answer is correct
\(648=2^3\times3^4\) and \(70=2\times5\times7\), so \(45360=2^4\times3^4\times5\times7\).
Step 3
Exam Tip
Comparing gives (a=4). चरण 1: \(45360=648\times70\) लिखें। चरण 2: \(648=2^3\times3^4\) और \(70=2\times5\times7\), इसलिए \(45360=2^4\times3^4\times5\times7\)। चरण 3: तुलना करने पर (a=4) है।