Use the Negative Exponent Rule to generate an equivalent expression to 3^-1/2
.(1 point)
Using the negative exponent rule, we can rewrite 3^-1/2 as 1/3^1/2.
The negative exponent rule states that any number raised to a negative exponent is equal to 1 divided by the number raised to the positive exponent.
Using the negative exponent rule, we can rewrite 3^-1/2 as 1/3^1/2.
Therefore, an equivalent expression to 3^-1/2 is 1/√3.
To use the Negative Exponent Rule and generate an equivalent expression for 3^-1/2, we can start by recalling that the Negative Exponent Rule states that a number raised to a negative exponent is equal to 1 divided by the number raised to the positive exponent.
Applying this rule to the expression 3^-1/2, we can rewrite it as 1/3^1/2.
Now, to further simplify the expression, we can evaluate the square root of 3. The square root of 3 can be calculated using a calculator or by approximating it as 1.732 (rounded to three decimal places).
So, the equivalent expression for 3^-1/2 using the Negative Exponent Rule is 1/√3 or approximately 1/1.732.