Solve 4a^6b = 10 - ScanMath

Evaluate

4 a^{6} b = 10

Rewrite the expression

4 b a^{6} = 10

Divide both sides

\frac{4 b a ^{6}}{4 b} = \frac{10}{4 b}

Divide the numbers

a^{6} = \frac{10}{4 b}

Cancel out the common factor 2

a^{6} = \frac{5}{2 b}

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

a = \pm 6 \frac{5}{2 b}

Simplify the expression

More Steps

a = \pm \frac{6 160 b ^{5}}{2 ∣ b ∣}

Separate the equation into 2 possible cases

a = \frac{6 160 b ^{5}}{2 ∣ b ∣} a = - \frac{6 160 b ^{5}}{2 ∣ b ∣}

Calculate

{a = - \frac{6 160 b ^{5}}{2 ∣ b ∣} b \neq = 0 {a = \frac{6 160 b ^{5}}{2 ∣ b ∣} b \neq = 0

Solution

a = - \frac{6 160 b ^{5}}{2 ∣ b ∣}, b \neq = 0 a = \frac{6 160 b ^{5}}{2 ∣ b ∣}, b \neq = 0

Solve the equation