Solve (-3)^0*(-3)*[(-3)^9:(-3)^6]^3

$$( - 3 ) ^ { 0 } \cdot ( - 3 ) \cdot [ ( - 3 ) ^ { 9 } : ( - 3 ) ^ { 6 } ] ^ { 3 }$$

Evaluate

$$59049$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 9 to get 3.

$$\left(-3\right)^{0}\left(-3\right)\left(\left(-3\right)^{3}\right)^{3}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 3 to get 9.

$$\left(-3\right)^{0}\left(-3\right)\left(-3\right)^{9}$$

To multiply powers of the same base, add their exponents. Add 0 and 1 to get 1.

$$\left(-3\right)^{1}\left(-3\right)^{9}$$

To multiply powers of the same base, add their exponents. Add 1 and 9 to get 10.

$$\left(-3\right)^{10}$$

Calculate -3 to the power of 10 and get 59049.

$$59049$$

Factor

$$3^{10}$$