Solve |(-5)^1*(+2)^2*(-5)^3:2

$$| ( - 5 ) ^ { 1 } \cdot ( + 2 ) ^ { 2 } \cdot ( - 5 ) ^ { 3 } : 2$$

Evaluate

$$1250$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$|\frac{\left(-5\right)^{4}\times 2^{2}}{2}|$$

Calculate -5 to the power of 4 and get 625.

$$|\frac{625\times 2^{2}}{2}|$$

Calculate 2 to the power of 2 and get 4.

$$|\frac{625\times 4}{2}|$$

Multiply 625 and 4 to get 2500.

$$|\frac{2500}{2}|$$

Divide 2500 by 2 to get 1250.

$$|1250|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 1250 is 1250.

$$1250$$

Factor

$$2\times 5^{4}$$