Solve 4*5^34-5^22/99*25^-12=

$$\frac { 4 \cdot 5 ^ { 34 } - 5 ^ { 22 } } { 99 \cdot 25 ^ { - 12 } } =$$

Evaluate

$$\frac{4205390240485940012149512767791748046875}{3}\approx 1.401796747 \cdot 10^{39}$$

Solution Steps

Calculate 5 to the power of 34 and get 582076609134674072265625.

$$\frac{4\times 582076609134674072265625-5^{22}}{99\times 25^{-12}}$$

Multiply 4 and 582076609134674072265625 to get 2328306436538696289062500.

$$\frac{2328306436538696289062500-5^{22}}{99\times 25^{-12}}$$

Calculate 5 to the power of 22 and get 2384185791015625.

$$\frac{2328306436538696289062500-2384185791015625}{99\times 25^{-12}}$$

Subtract 2384185791015625 from 2328306436538696289062500 to get 2328306434154510498046875.

$$\frac{2328306434154510498046875}{99\times 25^{-12}}$$

Calculate 25 to the power of -12 and get \frac{1}{59604644775390625}.

$$\frac{2328306434154510498046875}{99\times \frac{1}{59604644775390625}}$$

Multiply 99 and \frac{1}{59604644775390625} to get \frac{99}{59604644775390625}.

$$\frac{2328306434154510498046875}{\frac{99}{59604644775390625}}$$

Divide 2328306434154510498046875 by \frac{99}{59604644775390625} by multiplying 2328306434154510498046875 by the reciprocal of \frac{99}{59604644775390625}.

$$2328306434154510498046875\times \frac{59604644775390625}{99}$$

Multiply 2328306434154510498046875 and \frac{59604644775390625}{99} to get \frac{4205390240485940012149512767791748046875}{3}.

$$\frac{4205390240485940012149512767791748046875}{3}$$

Factor

$$\frac{5 ^ {46} \cdot 947 \cdot 31249}{3} = 1.4017967468286465 \times 10^{39}\frac{1}{3} = 1.4017967468286465 \times 10^{39}$$