Solve T-frac{x^{4}-(x^2)^3*x^-3*x^6}{9}

$$T - \frac { x ^ { 4 } - ( x ^ { 2 } ) ^ { 3 } \cdot x ^ { - 3 } \cdot x ^ { 6 } } { 9 }$$

Evaluate

$$\frac{x^{9}}{9}-\frac{x^{4}}{9}+T$$

Short Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$T-\frac{x^{4}-x^{6}x^{-3}x^{6}}{9}$$

To multiply powers of the same base, add their exponents. Add 6 and -3 to get 3.

$$T-\frac{x^{4}-x^{3}x^{6}}{9}$$

To multiply powers of the same base, add their exponents. Add 3 and 6 to get 9.

$$T-\frac{x^{4}-x^{9}}{9}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply T times \frac{9}{9}.

$$\frac{9T}{9}-\frac{x^{4}-x^{9}}{9}$$

Since \frac{9T}{9} and \frac{x^{4}-x^{9}}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9T-\left(x^{4}-x^{9}\right)}{9}$$

Do the multiplications in 9T-\left(x^{4}-x^{9}\right).

$$\frac{9T-x^{4}+x^{9}}{9}$$

Expand

$$\frac{x^{9}}{9}-\frac{x^{4}}{9}+T$$

Short Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$T-\frac{x^{4}-x^{6}x^{-3}x^{6}}{9}$$

To multiply powers of the same base, add their exponents. Add 6 and -3 to get 3.

$$T-\frac{x^{4}-x^{3}x^{6}}{9}$$

To multiply powers of the same base, add their exponents. Add 3 and 6 to get 9.

$$T-\frac{x^{4}-x^{9}}{9}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply T times \frac{9}{9}.

$$\frac{9T}{9}-\frac{x^{4}-x^{9}}{9}$$

Since \frac{9T}{9} and \frac{x^{4}-x^{9}}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9T-\left(x^{4}-x^{9}\right)}{9}$$

Do the multiplications in 9T-\left(x^{4}-x^{9}\right).

$$\frac{9T-x^{4}+x^{9}}{9}$$