usw the negative exponent rule to generate an equivalent expression to 3 -1/2
To use the negative exponent rule to generate an equivalent expression to 3 -1/2, we can rewrite the expression as:
3 * 2^-1/2
Using the negative exponent rule, we know that anything raised to a negative exponent can be flipped and made positive. So, we can rewrite the expression as:
3 * 1/(√2)
Simplifying the expression, we have:
3/√2
The negative exponent rule states that for any nonzero number "a," and any integer "n," "a^n" is equal to "1/a^(-n)."
To generate an equivalent expression to 3^(-1/2), we can apply the negative exponent rule.
So, 3^(-1/2) is equivalent to 1/3^(1/2).
Therefore, the expression equivalent to 3^(-1/2) is 1/√3.
To use the negative exponent rule to generate an equivalent expression to 3 -1/2, we need to rewrite the expression as a fractional exponent.
The negative exponent rule states that any non-zero number raised to a negative exponent is equal to one over the number raised to the absolute value of the exponent.
In this case, the expression 3 -1/2 can be rewritten as 3^(-1/2) using the negative exponent rule.
To evaluate the expression 3^(-1/2), we need to remember that a fractional exponent represents taking the root of a number. In this case, the denominator of the fractional exponent represents the root, and the numerator represents the power.
So, 3^(-1/2) means taking the square root of 3 raised to the power of -1.
The square root of 3 can be written as √3, and raising it to the power of -1 means taking the reciprocal or flipping the fraction.
Therefore, 3^(-1/2) is equal to 1/√3, or in simplified form, √3/3.
So, an equivalent expression to 3 -1/2 using the negative exponent rule is √3/3.