Solve (4^3/5^-2)^5=?

$$( \frac { 4 ^ { 3 } } { 5 ^ { - 2 } } ) ^ { 5 } = ?$$

Evaluate

$$10485760000000000$$

Solution Steps

Calculate 4 to the power of 3 and get 64.

$$\left(\frac{64}{5^{-2}}\right)^{5}$$

Calculate 5 to the power of -2 and get \frac{1}{25}.

$$\left(\frac{64}{\frac{1}{25}}\right)^{5}$$

Divide 64 by \frac{1}{25} by multiplying 64 by the reciprocal of \frac{1}{25}.

$$\left(64\times 25\right)^{5}$$

Multiply 64 and 25 to get 1600.

$$1600^{5}$$

Calculate 1600 to the power of 5 and get 10485760000000000.

$$10485760000000000$$

Factor

$$2^{30}\times 5^{10}$$