Class 9 Exam > Class 9 Questions > 16^1/4×(2^4)1/4 Related: Laws of Exponents f...
Start Learning for Free
16^1/4×(2^4)1/4
Most Upvoted Answer
16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number ...
Laws of Exponents for Real Numbers
The laws of exponents are a set of rules that simplify expressions involving exponents. The following are the laws of exponents for real numbers:
Product Rule
When multiplying two or more expressions with the same base, add the exponents:
16^(1/4) × (2^4)^(1/4) = (16 × 2^4)^(1/4) = 16^(1/4) × 2
Quotient Rule
When dividing two expressions with the same base, subtract the exponents:
Power Rule
When raising a base to a power, multiply the exponents:
Negative Exponent Rule
A negative exponent indicates that the base is in the denominator. To rewrite a negative exponent as a positive exponent, move the base to the opposite of the fraction:
Zero Exponent Rule
Any base raised to the power of zero is equal to one:
Using these rules, we can simplify expressions involving exponents. In the expression 16^(1/4) × (2^4)^(1/4), we can apply the product rule to simplify:
16^(1/4) × (2^4)^(1/4) = (16 × 2^4)^(1/4) = 16^(1/4) × 2
The expression simplifies to 16^(1/4) × 2, which is approximately equal to 4.
Community Answer
16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number ...
laws of exponents or exponent rule we can also say...….here 5 is base and 3 is exponent. Exponent are also known as powers or indices. the exponent of a number tells us how many times to use the number in the multiplication.
there are three laws
1. Product law
2. Quotient law
3. power law
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics
Question Description
16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics.
16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics.
Solutions for 16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of 16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics defined & explained in the simplest way possible. Besides giving the explanation of
16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics, a detailed solution for 16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics has been provided alongside types of 16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics theory, EduRev gives you an
ample number of questions to practice 16^1/4×(2^4)1/4 Related: Laws of Exponents for Real Numbers - Number Systems, Class 9, Mathematics tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup