Solve (3^-8*7^3)^-2=

$$( 3 ^ { - 8 } \cdot 7 ^ { 3 } ) ^ { - 2 } =$$

Evaluate

$$\frac{43046721}{117649}\approx 365.891091297$$

Solution Steps

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

$$\left(\frac{1}{6561}\times 7^{3}\right)^{-2}$$

Calculate 7 to the power of 3 and get 343.

$$\left(\frac{1}{6561}\times 343\right)^{-2}$$

Multiply \frac{1}{6561} and 343 to get \frac{343}{6561}.

$$\left(\frac{343}{6561}\right)^{-2}$$

Calculate \frac{343}{6561} to the power of -2 and get \frac{43046721}{117649}.

$$\frac{43046721}{117649}$$

Factor

$$\frac{3 ^ {16}}{7 ^ {6}} = 365\frac{104836}{117649} = 365.8910912969936$$