Simplify the expression to have only one positive exponent.
(3f^-2)^3
Fill in the blanks:
To simplify the expression you apply the (blank) rule to distribute the exponent (blank) to both terms.
The (blank) rule is applied to the (blank) by moving the variable to the (blank).
To simplify the expression you apply the power rule to distribute the exponent 3 to both terms.
The power rule is applied to the base 3f by moving the variable to the numerator.
Coefficient or variable for the base 3f?
Variable.
My bad. I meant to say is the base 3f a variable or coefficient?
The base 3f is a coefficient.
And what is the power rule? Is it the power to a power rule?
Apologies for the confusion. The power rule I mentioned earlier is indeed the power to a power rule.
The power to a power rule states that when you have an exponent raised to another exponent, you can multiply the exponents.
In this case, we have (3f^-2)^3, where the exponent 3 is being raised to the base 3f^-2. By applying the power to a power rule, we multiply the exponents: 3 * -2 = -6.
Therefore, the simplified expression becomes (3f^-2)^3 = 3^3 * (f^-2)^3 = 27 * f^-6.