Solve (0,3)^-4*(0,3)^-6*(0,3)^2

$$( 0,3 ) ^ { - 4 } \cdot ( 0,3 ) ^ { - 6 } \cdot ( 0,3 ) ^ { 2 }$$

Evaluate

$$\frac{100000000}{6561}\approx 15241,579027587$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and -6 to get -10.

$$0,3^{-10}\times 0,3^{2}$$

To multiply powers of the same base, add their exponents. Add -10 and 2 to get -8.

$$0,3^{-8}$$

Calculate 0,3 to the power of -8 and get \frac{100000000}{6561}.

$$\frac{100000000}{6561}$$

Factor

$$\frac{2 ^ {8} \cdot 5 ^ {8}}{3 ^ {8}} = 15241\frac{3799}{6561} = 15241.579027587259$$