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

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

Evaluate

$$-a^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and 3 to get 1.

$$a^{2}\left(-a\right)^{1}$$

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

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

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$a^{3}\left(-1\right)$$

Expand

$$-a^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -2 and 3 to get 1.

$$a^{2}\left(-a\right)^{1}$$

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

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

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$a^{3}\left(-1\right)$$