Question

use multiplication to expand the expression below. then compute and/or simplify.
$(-5y)^3$
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 \((-5y)^3\), we can apply this rule. Also, \((-5y)^3\) means multiplying \(-5y\) by itself three times. So, \((-5y)^3 = (-5y) \cdot (-5y) \cdot (-5y)\).

Step2: Simplify the expanded form

Now, let's simplify the multiplication. First, multiply the coefficients and the variables separately. The coefficient part: \((-5) \cdot (-5) \cdot (-5)\). Let's calculate that: \((-5) \cdot (-5)=25\), then \(25 \cdot (-5)= -125\). The variable part: \(y \cdot y \cdot y = y^3\) (using the rule \(a^m \cdot a^n = a^{m + n}\), here \(m = n = 1\), so \(1+1 + 1=3\)). So putting it together, \((-5y)^3=-125y^3\).

Answer:

Expanded Form: \((-5y)\cdot(-5y)\cdot(-5y)\)