Question

Which can be used to describe the expression? (r^-4)^3 1. There are three factors of r^-4. 2.The expression is equal to 1 over 12 factors of r. 3.Adding the exponents will create an equivalent expression. 4.Multiplying the exponents will create an equivalent expression. 5.The expression simplifies to 1/r^7.

Answer 1

Answer:

Option 2) The expression is equal to 1 over 12 factors of r

Option 4) Multiplying the exponents will create an equivalent expression.

Step-by-step explanation:

We are given the following in the question:

$(r^{-4})^3$

Properties of exponent:

$(x^m)^n = x^{mn}\\\\x^{-a} = \dfrac{1}{x^a}$

Thus, we can simplify the given expression as:

$(r^{-4})^3\\=r^{-12}\\\\=\dfrac{1}{r^{12}}$

Thus, the correct answer is:

Option 2) The expression is equal to 1 over 12 factors of r

Option 4) Multiplying the exponents will create an equivalent expression.