Solve -a^2*(-a)^3*a+a^4*(-3)^3

$$- a ^ { 2 } \cdot ( - a ) ^ { 3 } \cdot a + a ^ { 4 } \cdot ( - 3 ) ^ { 3 }$$

Evaluate

$$\left(a^{2}-27\right)a^{4}$$

Solution Steps

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

$$\left(-a^{2}\right)\left(-a\right)^{3}a+a^{4}\left(-27\right)$$

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

$$-a^{2}\left(-1\right)^{3}a^{3}a+a^{4}\left(-27\right)$$

Calculate -1 to the power of 3 and get -1.

$$-a^{2}\left(-1\right)a^{3}a+a^{4}\left(-27\right)$$

Multiply -1 and -1 to get 1.

$$a^{2}a^{3}a+a^{4}\left(-27\right)$$

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$a^{5}a+a^{4}\left(-27\right)$$

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$a^{6}+a^{4}\left(-27\right)$$

Expand

$$a^{6}-27a^{4}$$

Solution Steps

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

$$\left(-a^{2}\right)\left(-a\right)^{3}a+a^{4}\left(-27\right)$$

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

$$-a^{2}\left(-1\right)^{3}a^{3}a+a^{4}\left(-27\right)$$

Calculate -1 to the power of 3 and get -1.

$$-a^{2}\left(-1\right)a^{3}a+a^{4}\left(-27\right)$$

Multiply -1 and -1 to get 1.

$$a^{2}a^{3}a+a^{4}\left(-27\right)$$

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$a^{5}a+a^{4}\left(-27\right)$$

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$a^{6}+a^{4}\left(-27\right)$$