Solve 1/4 (r^41/2)=2

Evaluate

\frac{1}{4} (r^{4} \times \frac{1}{2}) = 2

Remove the parentheses

\frac{1}{4} r^{4} \times \frac{1}{2} = 2

Multiply the terms

More Steps

\frac{1}{8} r^{4} = 2

Multiply by the reciprocal

\frac{1}{8} r^{4} \times 8 = 2 \times 8

Multiply

r^{4} = 2 \times 8

Multiply

r^{4} = 16

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

r = \pm 416

Simplify the expression

More Steps

r = \pm 2

Separate the equation into 2 possible cases

r = 2 r = - 2

Solution

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

Solve the equation