यदि \(x\neq0\) है तो \(\frac{x^7\cdot x^{-3}}{x^2}\) का सरल रूप क्या है?
If \(x\neq0\), what is the simplified form of \(\frac{x^7\cdot x^{-3}}{x^2}\)?
Explanation opens after your attempt
Correct Answer
A. \(x^2\)
Step 1
Concept
The total exponent of the same base (x) is (7-3-2=2). Hence the simplified form is \(x^2\).
Step 2
Why this answer is correct
The correct answer is A. \(x^2\). The total exponent of the same base (x) is (7-3-2=2). Hence the simplified form is \(x^2\).
Step 3
Exam Tip
समान आधार (x) की कुल घात (7-3-2=2) है। इसलिए सरल रूप \(x^2\) है।
Login to save your score, XP, coins and progress.
यदि \(x\neq0\) है तो (\frac{\(x^2\)3\cdot x^{-1}}{x-2}) का सरल रूप क्या है?
If \(x\neq0\), what is the simplified form of (\frac{\(x^2\)3\cdot x^{-1}}{x-2})?
Explanation opens after your attempt
Correct Answer
B. \(x^3\)
Step 1
Concept
First (\(x^2\)3=x-6). The total exponent is (6-1-2=3).
Step 2
Why this answer is correct
The correct answer is B. \(x^3\). First (\(x^2\)3=x-6). The total exponent is (6-1-2=3).
Step 3
Exam Tip
पहले (\(x^2\)3=x-6) है। कुल घात (6-1-2=3) मिलती है।
Login to save your score, XP, coins and progress.
यदि \(x\neq0\) है तो (\frac{\(x^3\)2\cdot x^{-4}}{x}) का सरल रूप क्या है?
If \(x\neq0\), what is the simplified form of (\frac{\(x^3\)2\cdot x^{-4}}{x})?
Explanation opens after your attempt
Step 1
Concept
First (\(x^3\)2=x-6), then the exponent is (6-4-1=1). So the answer is (x).
Step 2
Why this answer is correct
The correct answer is A. (x). First (\(x^3\)2=x-6), then the exponent is (6-4-1=1). So the answer is (x).
Step 3
Exam Tip
पहले (\(x^3\)2=x-6), फिर घात (6-4-1=1) है। इसलिए उत्तर (x) है।
Login to save your score, XP, coins and progress.
\(\frac{h^{12}}{h^7}\) का सरल रूप क्या है यदि \(h\neq0\)?
What is the simplified form of \(\frac{h^{12}}{h^7}\) if \(h\neq0\)?
Explanation opens after your attempt
Correct Answer
B. \(h^5\)
Step 1
Concept
For the same base (h), (12-7=5). Therefore \(\frac{h^{12}}{h^7}=h^5\).
Step 2
Why this answer is correct
The correct answer is B. \(h^5\). For the same base (h), (12-7=5). Therefore \(\frac{h^{12}}{h^7}=h^5\).
Step 3
Exam Tip
समान आधार (h) में (12-7=5) होता है। इसलिए \(\frac{h^{12}}{h^7}=h^5\) है।
Login to save your score, XP, coins and progress.
(\(s^5\)2) का सरल रूप क्या है?
What is the simplified form of (\(s^5\)2)?
Explanation opens after your attempt
Correct Answer
B. \(s^{10}\)
Step 1
Concept
In a power of a power, \(5\cdot2=10\). Therefore (\(s^5\)2=s^{10}).
Step 2
Why this answer is correct
The correct answer is B. \(s^{10}\). In a power of a power, \(5\cdot2=10\). Therefore (\(s^5\)2=s^{10}).
Step 3
Exam Tip
घात की घात में \(5\cdot2=10\) होता है। इसलिए (\(s^5\)2=s^{10}) है।
Login to save your score, XP, coins and progress.
\(\frac{r^{10}}{r^6}\) का सरल रूप क्या है यदि \(r\neq0\)?
What is the simplified form of \(\frac{r^{10}}{r^6}\) if \(r\neq0\)?
Explanation opens after your attempt
Correct Answer
B. \(r^4\)
Step 1
Concept
For the same base (r), (10-6=4). Thus \(\frac{r^{10}}{r^6}=r^4\).
Step 2
Why this answer is correct
The correct answer is B. \(r^4\). For the same base (r), (10-6=4). Thus \(\frac{r^{10}}{r^6}=r^4\).
Step 3
Exam Tip
समान आधार (r) में (10-6=4) होता है। इसलिए \(\frac{r^{10}}{r^6}=r^4\) है।
Login to save your score, XP, coins and progress.
(\(z^4\)3) का सरल रूप क्या है?
What is the simplified form of (\(z^4\)3)?
Explanation opens after your attempt
Correct Answer
B. \(z^{12}\)
Step 1
Concept
In a power of a power, \(4\cdot3=12\). Therefore (\(z^4\)3=z^{12}).
Step 2
Why this answer is correct
The correct answer is B. \(z^{12}\). In a power of a power, \(4\cdot3=12\). Therefore (\(z^4\)3=z^{12}).
Step 3
Exam Tip
घात की घात में \(4\cdot3=12\) होता है। इसलिए (\(z^4\)3=z^{12}) है।
Login to save your score, XP, coins and progress.
\(\frac{y^9}{y^4}\) का सरल रूप क्या है यदि \(y\neq0\)?
What is the simplified form of \(\frac{y^9}{y^4}\) if \(y\neq0\)?
Explanation opens after your attempt
Correct Answer
B. \(y^5\)
Step 1
Concept
For the same base (y), division gives (9-4=5). Therefore \(\frac{y^9}{y^4}=y^5\).
Step 2
Why this answer is correct
The correct answer is B. \(y^5\). For the same base (y), division gives (9-4=5). Therefore \(\frac{y^9}{y^4}=y^5\).
Step 3
Exam Tip
समान आधार (y) में भाग करने पर (9-4=5) होता है। इसलिए \(\frac{y^9}{y^4}=y^5\) है।
Login to save your score, XP, coins and progress.
