Question

(-3c)^4
answer attempt 1 out of 4
press the · button or type the * symbol on your keyboard to represent multiplication. using × for multiplication is inappropriate when x may be used as a variable. for the answer, type the base, then use the a^b button or type the ^ symbol for an exponent.
expanded form:
answer:

Explanation:

Step1: Recall the power of a product rule

The power of a product rule states that \((ab)^n = a^n b^n\). For \((-3c)^4\), we can apply this rule.

Step2: Expand the expression

Using the rule, \((-3c)^4 = (-3)^4 \cdot c^4\). Now, calculate \((-3)^4\): \((-3) \times (-3) \times (-3) \times (-3)=81\). So the expanded form (showing the multiplication of the base factors) is \((-3) \cdot (-3) \cdot (-3) \cdot (-3) \cdot c \cdot c \cdot c \cdot c\), and the simplified form is \(81c^4\).

Expanded Form:

\((-3) \cdot (-3) \cdot (-3) \cdot (-3) \cdot c \cdot c \cdot c \cdot c\)

Answer:

\(81c^4\)