Solve [6-2*(-2)]:(-5)-(-10)^5:(-10)

$$[ 6 - 2 \cdot ( - 2 ) ] : ( - 5 ) - ( - 10 ) ^ { 5 } : ( - 10 )$$

Evaluate

$$-10002$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 5 to get 4.

$$\frac{6-2\left(-2\right)}{-5}-\left(-10\right)^{4}$$

Multiply 2 and -2 to get -4.

$$\frac{6-\left(-4\right)}{-5}-\left(-10\right)^{4}$$

The opposite of -4 is 4.

$$\frac{6+4}{-5}-\left(-10\right)^{4}$$

Add 6 and 4 to get 10.

$$\frac{10}{-5}-\left(-10\right)^{4}$$

Divide 10 by -5 to get -2.

$$-2-\left(-10\right)^{4}$$

Calculate -10 to the power of 4 and get 10000.

$$-2-10000$$

Subtract 10000 from -2 to get -10002.

$$-10002$$

Factor

$$-10002$$