Solve (-3x^3left(-3x^3right)^2

$$(-3 { x }^{ 3 } { \left(-3 { x }^{ 3 } \right) }^{ 2 }$$

Evaluate

$$-27x^{9}$$

Solution Steps

Expand \left(-3x^{3}\right)^{2}.

$$-3x^{3}\left(-3\right)^{2}\left(x^{3}\right)^{2}$$

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

$$-3x^{3}\left(-3\right)^{2}x^{6}$$

Calculate -3 to the power of 2 and get 9.

$$-3x^{3}\times 9x^{6}$$

Multiply -3 and 9 to get -27.

$$-27x^{3}x^{6}$$

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

$$-27x^{9}$$

Expand

$$-27x^{9}$$

Solution Steps

Expand \left(-3x^{3}\right)^{2}.

$$-3x^{3}\left(-3\right)^{2}\left(x^{3}\right)^{2}$$

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

$$-3x^{3}\left(-3\right)^{2}x^{6}$$

Calculate -3 to the power of 2 and get 9.

$$-3x^{3}\times 9x^{6}$$

Multiply -3 and 9 to get -27.

$$-27x^{3}x^{6}$$

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

$$-27x^{9}$$