Solve 5= (r^41)/5

Evaluate

5 = \frac{r ^{4} \times 1}{5}

Any expression multiplied by 1 remains the same

5 = \frac{r ^{4}}{5}

Swap the sides of the equation

\frac{r ^{4}}{5} = 5

Cross multiply

r^{4} = 5 \times 5

Simplify the equation

r^{4} = 25

Take the root of both sides of the equation and remember to use both positive and negative roots

r = \pm 425

Simplify the expression

More Steps

r = \pm 5

Separate the equation into 2 possible cases

r = 5 r = - 5

Solution

r_{1} = - 5, r_{2} = 5

Alternative Form

r_{1} \approx - 2.236068, r_{2} \approx 2.236068

Solve the equation