Use the Negative Exponent Rule to generate an equivalent expression to 3^-1/2
Using the negative exponent rule, we know that 3^-1/2 is equivalent to 1 / (3^1/2).
To generate an equivalent expression using the Negative Exponent Rule, we know that any nonzero number raised to the power of -n is the same as taking the reciprocal of that number raised to the power of n.
Therefore, applying the Negative Exponent Rule to 3^-1/2, we can rewrite it as:
1 / (3^(1/2))
This is the equivalent expression to 3^-1/2 according to the Negative Exponent Rule.
To generate an equivalent expression using the Negative Exponent Rule, we need to rewrite the expression with a positive exponent.
The Negative Exponent Rule states that any number raised to a negative exponent is equal to the reciprocal of that number raised to the positive exponent.
So, to rewrite 3^-1/2 using the Negative Exponent Rule, we can rewrite it as 1/(3^1/2).
Now, let's simplify it further.
To simplify 3^1/2, we need to find the square root of 3. The square root of 3 is an irrational number, approximately equal to 1.732.
So, we can rewrite 1/(3^1/2) as 1/(√3), or √3/3.
Therefore, an equivalent expression to 3^-1/2 using the Negative Exponent Rule is √3/3.