Solve ar^3/ar^5=24/96

$$\frac { a r ^ { 3 } } { a r ^ { 5 } } = \frac { 24 } { 96 }$$

Solve for a

$$a\neq 0$$

$$|r|=2$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 96ar^{5}, the least common multiple of ar^{5},96.

$$96ar^{3}=ar^{5}\times 24$$

Subtract ar^{5}\times 24 from both sides.

$$96ar^{3}-ar^{5}\times 24=0$$

Multiply -1 and 24 to get -24.

$$96ar^{3}-24ar^{5}=0$$

Combine all terms containing a.

$$\left(96r^{3}-24r^{5}\right)a=0$$

Divide 0 by 96r^{3}-24r^{5}.

$$a=0$$

Variable a cannot be equal to 0.

$$a\in \emptyset$$

Solve for r

$$r=2$$

$$r=-2\text{, }a\neq 0$$