Solve (9^3)^2/(3^4)^-2

$$( 9 ^ { 3 } ) ^ { 2 } / ( 3 ^ { 4 } ) ^ { - 2 }$$

Evaluate

$$3486784401$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\frac{9^{6}}{\left(3^{4}\right)^{-2}}$$

To raise a power to another power, multiply the exponents. Multiply 4 and -2 to get -8.

$$\frac{9^{6}}{3^{-8}}$$

Calculate 9 to the power of 6 and get 531441.

$$\frac{531441}{3^{-8}}$$

Calculate 3 to the power of -8 and get \frac{1}{6561}.

$$\frac{531441}{\frac{1}{6561}}$$

Divide 531441 by \frac{1}{6561} by multiplying 531441 by the reciprocal of \frac{1}{6561}.

$$531441\times 6561$$

Multiply 531441 and 6561 to get 3486784401.

$$3486784401$$

Factor

$$3^{20}$$