Solve [(-3)(-3)^2(-3)^3]=[(-3)^2(-3)^3]

$$[ ( - 3 ) ( - 3 ) ^ { 2 } ( - 3 ) ^ { 3 } ] = [ ( - 3 ) ^ { 2 } ( - 3 ) ^ { 3 } ]$$

Verify

Solution Steps

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

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

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

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

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

$$\left(-3\right)^{6}=\left(-3\right)^{5}$$

As \left(-3\right)^{6} and \left(-3\right)^{5} have the same base, compare them by comparing their exponents.

$$\text{false}$$