Solve 34*5^2+6*(5^-4)^2)

$$34 \cdot 5 ^ { 2 } + 6 \cdot ( 5 ^ { - 4 } ) ^ { 2 } )$$

Evaluate

$$\frac{332031256}{390625}=850.00001536$$

Solution Steps

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

$$34\times 5^{2}+6\times 5^{-8}$$

Calculate 5 to the power of 2 and get 25.

$$34\times 25+6\times 5^{-8}$$

Multiply 34 and 25 to get 850.

$$850+6\times 5^{-8}$$

Calculate 5 to the power of -8 and get \frac{1}{390625}.

$$850+6\times \frac{1}{390625}$$

Multiply 6 and \frac{1}{390625} to get \frac{6}{390625}.

$$850+\frac{6}{390625}$$

Add 850 and \frac{6}{390625} to get \frac{332031256}{390625}.

$$\frac{332031256}{390625}$$

Factor

$$\frac{2 ^ {3} \cdot 1493 \cdot 27799}{5 ^ {8}} = 850\frac{6}{390625} = 850.00001536$$