- #1
ritwik06
- 580
- 0
Homework Statement
[tex]0^{\sqrt{0}}=\sqrt{0^{0}}[/tex]
Is this expression true?
?? log(0) is NOT 1. It is, one more time, "undefined".physixguru said:Take logarithm and simplify.
root 0 * log 0 = 0 *1= 0
Assumptions= using root 0= 0 on the basis that zero is a real number.
Taking log to the base 10.
R.H.S.> 1/2*0 * log 0
> 0*1
> 0
Assumptions same as above.
The points raised above by honourable members are very meaningful, this is one of the proof methods i learned at the IIT,delhi.
An exponent expression is a mathematical expression that represents repeated multiplication of a number by itself. It is written in the form of a base number raised to a power, such as 3^2, where 3 is the base and 2 is the power.
The base number is the number that is being multiplied by itself, while the exponent is the number that represents how many times the base number is being multiplied. For example, in the expression 4^3, 4 is the base and 3 is the exponent.
To simplify an exponent expression, you can use the rules of exponents. For example, when multiplying two exponent expressions with the same base, you can add the exponents together. When dividing two exponent expressions with the same base, you can subtract the exponents.
A negative exponent means that the base number should be divided by itself the number of times indicated by the exponent. For example, 2^-3 is the same as 1 / (2^3), which equals 1/8.
To evaluate an exponent expression with variables, you can substitute in the given values for the variables and then use the rules of exponents to simplify the expression. You can also use a calculator to evaluate the expression if the variables have specific numerical values.