Solve -3^-5*-3*3^3*3^3

$$- { 3 }^{ -5 } \times -3 \times { 3 }^{ 3 } \times { 3 }^{ 3 }$$

Evaluate

$$9$$

Solution Steps

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

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

Calculate 3 to the power of -5 and get \frac{1}{243}.

$$-\frac{1}{243}\left(-3\right)\times 3^{6}$$

Multiply -\frac{1}{243} and -3 to get \frac{1}{81}.

$$\frac{1}{81}\times 3^{6}$$

Calculate 3 to the power of 6 and get 729.

$$\frac{1}{81}\times 729$$

Multiply \frac{1}{81} and 729 to get 9.

$$9$$

Factor

$$3^{2}$$