Solve (-3)^2*(-3)^2*(-3)^4*(-3)^-7

$$( - 3 ) ^ { 2 } \cdot ( - 3 ) ^ { 2 } \cdot ( - 3 ) ^ { 4 } \cdot ( - 3 ) ^ { - 7 }$$

Evaluate

$$-3$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\left(-3\right)^{4}\left(-3\right)^{4}\left(-3\right)^{-7}$$

To multiply powers of the same base, add their exponents. Add 4 and 4 to get 8.

$$\left(-3\right)^{8}\left(-3\right)^{-7}$$

To multiply powers of the same base, add their exponents. Add 8 and -7 to get 1.

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

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

$$-3$$

Factor

$$-3$$