Solve 5^2*6*(25)^7*4div(125)^13=5

$$5 ^ { 2 \cdot 6 } \times ( 25 ) ^ { 7 \cdot 4 } \div ( 125 ) ^ { 13 } = 5$$

Verify

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{5^{12}\times 25^{7\times 4}}{125^{13}}=5$$

Calculate 5 to the power of 12 and get 244140625.

$$\frac{244140625\times 25^{7\times 4}}{125^{13}}=5$$

Multiply 7 and 4 to get 28.

$$\frac{244140625\times 25^{28}}{125^{13}}=5$$

Calculate 25 to the power of 28 and get 1387778780781445675529539585113525390625.

$$\frac{244140625\times 1387778780781445675529539585113525390625}{125^{13}}=5$$

Multiply 244140625 and 1387778780781445675529539585113525390625 to get 338813178901720135627329000271856784820556640625.

$$\frac{338813178901720135627329000271856784820556640625}{125^{13}}=5$$

Calculate 125 to the power of 13 and get 1818989403545856475830078125.

$$\frac{338813178901720135627329000271856784820556640625}{1818989403545856475830078125}=5$$

Divide 338813178901720135627329000271856784820556640625 by 1818989403545856475830078125 to get 186264514923095703125.

$$186264514923095703125=5$$

Compare 186264514923095703125 and 5.

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