Solve 15^5:15^4+sqrt{12^2}-1,5*10^2

$$15 ^ { 5 } : 15 ^ { 4 } + \sqrt { 12 ^ { 2 } } - 1,5 \cdot 10 ^ { 2 }$$

Evaluate

$$-123$$

Solution Steps

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

$$15^{1}+\sqrt{12^{2}}-1,5\times 10^{2}$$

Calculate 15 to the power of 1 and get 15.

$$15+\sqrt{12^{2}}-1,5\times 10^{2}$$

Calculate 12 to the power of 2 and get 144.

$$15+\sqrt{144}-1,5\times 10^{2}$$

Calculate the square root of 144 and get 12.

$$15+12-1,5\times 10^{2}$$

Add 15 and 12 to get 27.

$$27-1,5\times 10^{2}$$

Calculate 10 to the power of 2 and get 100.

$$27-1,5\times 100$$

Multiply 1,5 and 100 to get 150.

$$27-150$$

Subtract 150 from 27 to get -123.

$$-123$$

Factor

$$-123$$