What is the answer to ((4a)/3)^{1/3}=3a ?

The answer to ((4a)/3)^{1/3}=3a is a=0,a=-2/(3^2),a= 2/(3^2)

Solve for a: ((4a)/3)^{1/3}=3a

The solution is a=0,a=-2/(3^2),a= 2/(3^2)

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Popular >

(\frac{4 a}{3})^{\frac{1}{3}} = 3 a

a = 0, a = - \frac{2}{3 ^{2}}, a = \frac{2}{3 ^{2}}

Decimal Notation

a = 0, a = - 0.22222 \dots, a = 0.22222 \dots

Solution steps

(\frac{4 a}{3})^{\frac{1}{3}} = 3 a

Take both sides of the equation to the power of

3 : \frac{4 a}{3} = 27 a^{3}

\frac{4 a}{3} = 27 a^{3}

Solve

\frac{4 a}{3} = 27 a^{3} : a = 0, a = - \frac{2}{3 ^{2}}, a = \frac{2}{3 ^{2}}

a = 0, a = - \frac{2}{3 ^{2}}, a = \frac{2}{3 ^{2}}

Verify Solutions:

a = 0

True

, a = - \frac{2}{3 ^{2}}

True

, a = \frac{2}{3 ^{2}}

True

The solutions are

a = 0, a = - \frac{2}{3 ^{2}}, a = \frac{2}{3 ^{2}}

x^{2} + 2 3 x + 1 = 0

x - 49 = x + 7

(2 x - 3)^{2} = 3 x - 5 x

x^{2.67} = 13.4173

x^{0.5} = 0.0104

What is the answer to ((4a)/3)^{1/3}=3a ?
The answer to ((4a)/3)^{1/3}=3a is a=0,a=-2/(3^2),a= 2/(3^2)
Solve for a: ((4a)/3)^{1/3}=3a
The solution is a=0,a=-2/(3^2),a= 2/(3^2)