Solve -18^{2}-36:[2^{8^{2}}:(-2^9)^7+(-9)^15:(-3*3^28)]

$$- 18 ^ { 2 } - 36 : [ 2 ^ { 8 ^ { 2 } } : ( - 2 ^ { 9 } ) ^ { 7 } + ( - 9 ) ^ { 15 } : ( - 3 \cdot 3 ^ { 28 } ) ]$$

Evaluate

$$-360$$

Solution Steps

Calculate 18 to the power of 2 and get 324.

$$-324-\frac{36}{\frac{2^{8^{2}}}{\left(-2^{9}\right)^{7}}+\frac{\left(-9\right)^{15}}{-3\times 3^{28}}}$$

Calculate 8 to the power of 2 and get 64.

$$-324-\frac{36}{\frac{2^{64}}{\left(-2^{9}\right)^{7}}+\frac{\left(-9\right)^{15}}{-3\times 3^{28}}}$$

Calculate 2 to the power of 64 and get 18446744073709551616.

$$-324-\frac{36}{\frac{18446744073709551616}{\left(-2^{9}\right)^{7}}+\frac{\left(-9\right)^{15}}{-3\times 3^{28}}}$$

Calculate 2 to the power of 9 and get 512.

$$-324-\frac{36}{\frac{18446744073709551616}{\left(-512\right)^{7}}+\frac{\left(-9\right)^{15}}{-3\times 3^{28}}}$$

Calculate -512 to the power of 7 and get -9223372036854775808.

$$-324-\frac{36}{\frac{18446744073709551616}{-9223372036854775808}+\frac{\left(-9\right)^{15}}{-3\times 3^{28}}}$$

Divide 18446744073709551616 by -9223372036854775808 to get -2.

$$-324-\frac{36}{-2+\frac{\left(-9\right)^{15}}{-3\times 3^{28}}}$$

Calculate -9 to the power of 15 and get -205891132094649.

$$-324-\frac{36}{-2+\frac{-205891132094649}{-3\times 3^{28}}}$$

Calculate 3 to the power of 28 and get 22876792454961.

$$-324-\frac{36}{-2+\frac{-205891132094649}{-3\times 22876792454961}}$$

Multiply -3 and 22876792454961 to get -68630377364883.

$$-324-\frac{36}{-2+\frac{-205891132094649}{-68630377364883}}$$

Divide -205891132094649 by -68630377364883 to get 3.

$$-324-\frac{36}{-2+3}$$

Add -2 and 3 to get 1.

$$-324-\frac{36}{1}$$

Anything divided by one gives itself.

$$-324-36$$

Subtract 36 from -324 to get -360.

$$-360$$

Factor

$$-360$$