Solve E=frac{9*10^{9}*2*5*10^-5*0.25}{{(0.25)^2-(0.05)^2}^2}

$$E = \frac { 9 \times 10 ^ { 9 } \times 2 \times 5 \times 10 ^ { - 5 } \times 0.25 } { \{ ( 0.25 ) ^ { 2 } - ( 0.05 ) ^ { 2 } \} ^ { 2 } }$$

Solve for E

$$E=62500000$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 9 and -5 to get 4.

$$E=\frac{9\times 10^{4}\times 2\times 5\times 0.25}{\left(0.25^{2}-0.05^{2}\right)^{2}}$$

Calculate 10 to the power of 4 and get 10000.

$$E=\frac{9\times 10000\times 2\times 5\times 0.25}{\left(0.25^{2}-0.05^{2}\right)^{2}}$$

Multiply 9 and 10000 to get 90000.

$$E=\frac{90000\times 2\times 5\times 0.25}{\left(0.25^{2}-0.05^{2}\right)^{2}}$$

Multiply 90000 and 2 to get 180000.

$$E=\frac{180000\times 5\times 0.25}{\left(0.25^{2}-0.05^{2}\right)^{2}}$$

Multiply 180000 and 5 to get 900000.

$$E=\frac{900000\times 0.25}{\left(0.25^{2}-0.05^{2}\right)^{2}}$$

Multiply 900000 and 0.25 to get 225000.

$$E=\frac{225000}{\left(0.25^{2}-0.05^{2}\right)^{2}}$$

Calculate 0.25 to the power of 2 and get 0.0625.

$$E=\frac{225000}{\left(0.0625-0.05^{2}\right)^{2}}$$

Calculate 0.05 to the power of 2 and get 0.0025.

$$E=\frac{225000}{\left(0.0625-0.0025\right)^{2}}$$

Subtract 0.0025 from 0.0625 to get 0.06.

$$E=\frac{225000}{0.06^{2}}$$

Calculate 0.06 to the power of 2 and get 0.0036.

$$E=\frac{225000}{0.0036}$$

Expand \frac{225000}{0.0036} by multiplying both numerator and the denominator by 10000.

$$E=\frac{2250000000}{36}$$

Divide 2250000000 by 36 to get 62500000.

$$E=62500000$$

Assign E

$$E≔62500000$$