Write the following expression without negative exponents and without parentheses.
-6x^-2
-6 / x^2
To write the expression -6x^-2 without negative exponents and without parentheses, we can use the rule that says "To remove a negative exponent, take the reciprocal of the base and change the sign of the exponent to positive."
Since x^-2 has a negative exponent, we can rewrite it as 1/x^2.
Thus, the expression -6x^-2 can be rewritten as -6 * (1/x^2).
To remove the parentheses, we can use the distributive property.
So, -6 * (1/x^2) can be simplified as -6/x^2.
Therefore, the expression -6x^-2 without negative exponents and without parentheses is -6/x^2.
To write the expression -6x^-2 without negative exponents and without parentheses, we need to follow these steps:
Step 1: Start by removing the negative exponent.
The negative exponent -2 means that we have a reciprocal of the base raised to a positive exponent. So, we can rewrite x^-2 as 1/x^2.
Step 2: Replace the expression -6x^-2 with -6 * 1/x^2.
Step 3: Simplify the expression.
When multiplying a whole number with a fraction, we can distribute the whole number to both the numerator and the denominator of the fraction. Therefore, we have:
-6 * 1/x^2 = -6/x^2.
So, the expression -6x^-2, without negative exponents and without parentheses, is -6/x^2.