Solve 364.56*6^2/6^2-2^2

$$364.56 \times \frac{ { 6 }^{ 2 } }{ { 6 }^{ 2 } - { 2 }^{ 2 } }$$

Evaluate

$$410.13$$

Solution Steps

Calculate 6 to the power of 2 and get 36.

$$364.56\times \frac{36}{6^{2}-2^{2}}$$

Calculate 6 to the power of 2 and get 36.

$$364.56\times \frac{36}{36-2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$364.56\times \frac{36}{36-4}$$

Subtract 4 from 36 to get 32.

$$364.56\times \frac{36}{32}$$

Reduce the fraction \frac{36}{32} to lowest terms by extracting and canceling out 4.

$$364.56\times \frac{9}{8}$$

Convert decimal number 364.56 to fraction \frac{36456}{100}. Reduce the fraction \frac{36456}{100} to lowest terms by extracting and canceling out 4.

$$\frac{9114}{25}\times \frac{9}{8}$$

Multiply \frac{9114}{25} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9114\times 9}{25\times 8}$$

Do the multiplications in the fraction \frac{9114\times 9}{25\times 8}.

$$\frac{82026}{200}$$

Reduce the fraction \frac{82026}{200} to lowest terms by extracting and canceling out 2.

$$\frac{41013}{100}$$

Factor

$$\frac{31 \cdot 3 ^ {3} \cdot 7 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 410\frac{13}{100} = 410.13$$