In 25the exponent isa)1b)5c)2d)0Correct answer is option 'B'. Can you ...
Exponents, or powers, are a way of indicating that a quantity is to be multiplied by itself some number of times. In the expression 25, 2 is called the base and 5 is called the exponent, or power.
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In 25the exponent isa)1b)5c)2d)0Correct answer is option 'B'. Can you ...
Understanding Exponents
Exponents are a shorthand way to express repeated multiplication of a number by itself. For example, in \( a^n \), \( a \) is the base and \( n \) is the exponent.
Analyzing the Expression 25
To understand the exponent in the expression \( 25 \), we need to express this number in terms of its prime factors:
- Prime Factorization of 25:
- The number 25 can be factored into \( 5 \times 5 \) or \( 5^2 \).
- Here, the base is 5, and the exponent is 2 because 5 is multiplied by itself 2 times.
Identifying the Exponent
Now, let’s relate this to the options provided:
- Option a) 1: This would imply \( 5^1 = 5 \), which is not correct.
- Option b) 5: This would imply \( 5^5 = 3125 \), which is also incorrect.
- Option c) 2: This is correct since \( 5^2 = 25 \).
- Option d) 0: This would imply \( 5^0 = 1 \), which is not correct.
Conclusion
Thus, the correct answer is option 'B' because the exponent in the expression \( 25 \) is indeed 2, represented as \( 5^2 \). Understanding this helps in simplifying and solving problems related to exponents effectively.
In 25the exponent isa)1b)5c)2d)0Correct answer is option 'B'. Can you ...
Because 5 is the exponent here