यदि \(r=10^{2}\cdot10^{-5}\cdot10^{4}\), तो (r) का मान क्या है?
If \(r=10^{2}\cdot10^{-5}\cdot10^{4}\), what is the value of (r)?
#exponents
#scientific_notation
#powers
A (10)
B (100)
C \(\frac{1}{10}\)
D (1)
Explanation opens after your attempt
Step 1
Concept
For the same base (10), the exponent is (2-5+4=1), so \(r=10^{1}=10\). In exams, add exponents during multiplication.
Step 2
Why this answer is correct
The correct answer is A. (10). For the same base (10), the exponent is (2-5+4=1), so \(r=10^{1}=10\). In exams, add exponents during multiplication.
Step 3
Exam Tip
समान आधार (10) की घातें (2-5+4=1) हैं, इसलिए \(r=10^{1}=10\)। परीक्षा में गुणा में घातों को जोड़ें।
Login to save your score, XP, coins and progress. Login
यदि \(10^{-3}\times N=0.45\), तो (N) का मान क्या है?
If \(10^{-3}\times N=0.45\), what is the value of (N)?
#polynomials
#powers-of-ten
#negative-exponents
#scientific-notation
A (,450,)
B (,45,)
C (,0.00045,)
D (,4.5,)
Explanation opens after your attempt
Correct Answer
A. (,450,)
Step 1
Concept
\(N=\dfrac{0.45}{10^{-3}}=0.45\times 10^3=450\). In exams, dividing by \(10^{-3}\) is like multiplying by \(10^3\).
Step 2
Why this answer is correct
The correct answer is A. (,450,). \(N=\dfrac{0.45}{10^{-3}}=0.45\times 10^3=450\). In exams, dividing by \(10^{-3}\) is like multiplying by \(10^3\).
Step 3
Exam Tip
\(N=\dfrac{0.45}{10^{-3}}=0.45\times 10^3=450\)। परीक्षा में \(10^{-3}\) से भाग देना \(10^3\) से गुणा करने जैसा है।
Login to save your score, XP, coins and progress. Login
((0.0001)^{\frac{3}{2}}) का मान क्या है?
What is the value of ((0.0001)^{\frac{3}{2}})?
#polynomials
#scientific-notation
#rational-exponents
#real-numbers
A \(,10^{-6},\)
B \(,10^{-4},\)
C \(,10^{-2},\)
D \(,10^{-8},\)
Explanation opens after your attempt
Correct Answer
A. \(,10^{-6},\)
Step 1
Concept
Since \(0.0001=10^{-4}\), (\(10^{-4}\)^{\frac{3}{2}}=10^{-6}). In exams, convert decimals into powers of (10).
Step 2
Why this answer is correct
The correct answer is A. \(,10^{-6},\). Since \(0.0001=10^{-4}\), (\(10^{-4}\)^{\frac{3}{2}}=10^{-6}). In exams, convert decimals into powers of (10).
Step 3
Exam Tip
क्योंकि \(0.0001=10^{-4}\), इसलिए (\(10^{-4}\)^{\frac{3}{2}}=10^{-6})। परीक्षा में दशमलव को (10) की घात में बदलें।
Login to save your score, XP, coins and progress. Login
\(\dfrac{0.00032}{10^{-5}}\) का मान क्या होगा?
What is the value of \(\dfrac{0.00032}{10^{-5}}\)?
#polynomials
#real-numbers
#scientific-notation
#exponents
A (,32,)
B (,3.2,)
C (,320,)
D (,0.32,)
Explanation opens after your attempt
Step 1
Concept
Since \(0.00032=3.2\times 10^{-4}\), \(\dfrac{3.2\times 10^{-4}}{10^{-5}}=3.2\times 10^1=32\). In exams, converting decimals to scientific notation helps.
Step 2
Why this answer is correct
The correct answer is A. (,32,). Since \(0.00032=3.2\times 10^{-4}\), \(\dfrac{3.2\times 10^{-4}}{10^{-5}}=3.2\times 10^1=32\). In exams, converting decimals to scientific notation helps.
Step 3
Exam Tip
क्योंकि \(0.00032=3.2\times 10^{-4}\), इसलिए \(\dfrac{3.2\times 10^{-4}}{10^{-5}}=3.2\times 10^1=32\)। परीक्षा में decimal को scientific notation में बदलना मदद करता है।
Login to save your score, XP, coins and progress. Login
