Solve 4/9=a_{1}*(-3)^3

$$\frac { 4 } { 9 } = a _ { 1 } \times ( - 3 ) ^ { 3 }$$

Solve for a_1

$$a_{1}=-\frac{4}{243}\approx -0.016460905$$

Steps for Solving Linear Equation

Calculate -3 to the power of 3 and get -27.

$$\frac{4}{9}=a_{1}\left(-27\right)$$

Swap sides so that all variable terms are on the left hand side.

$$a_{1}\left(-27\right)=\frac{4}{9}$$

Divide both sides by -27.

$$a_{1}=\frac{\frac{4}{9}}{-27}$$

Express \frac{\frac{4}{9}}{-27} as a single fraction.

$$a_{1}=\frac{4}{9\left(-27\right)}$$

Multiply 9 and -27 to get -243.

$$a_{1}=\frac{4}{-243}$$

Fraction \frac{4}{-243} can be rewritten as -\frac{4}{243} by extracting the negative sign.

$$a_{1}=-\frac{4}{243}$$