Solve 3^-5*9^2=3^-20

$$3 ^ { - 5 } \times 9 ^ { 2 } = 3 ^ { - 20 }$$

Verify

Solution Steps

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

$$\frac{1}{243}\times 9^{2}=3^{-20}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{1}{243}\times 81=3^{-20}$$

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

$$\frac{1}{3}=3^{-20}$$

Calculate 3 to the power of -20 and get \frac{1}{3486784401}.

$$\frac{1}{3}=\frac{1}{3486784401}$$

Least common multiple of 3 and 3486784401 is 3486784401. Convert \frac{1}{3} and \frac{1}{3486784401} to fractions with denominator 3486784401.

$$\frac{1162261467}{3486784401}=\frac{1}{3486784401}$$

Compare \frac{1162261467}{3486784401} and \frac{1}{3486784401}.

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