Solve {15^{0}-[(-3)^{2}+(-5)^2-(-2)^5]:(-11)^0*1+9}:(-2)^3

$$\{ 15 ^ { 0 } - [ ( - 3 ) ^ { 2 } + ( - 5 ) ^ { 2 } - ( - 2 ) ^ { 5 } ] : ( - 11 ) ^ { 0 } \cdot 1 + 9 \} : ( - 2 ) ^ { 3 }$$

Evaluate

$$7$$

Solution Steps

Calculate 15 to the power of 0 and get 1.

$$\frac{1-\frac{\left(-3\right)^{2}+\left(-5\right)^{2}-\left(-2\right)^{5}}{\left(-11\right)^{0}}\times 1+9}{\left(-2\right)^{3}}$$

Calculate -3 to the power of 2 and get 9.

$$\frac{1-\frac{9+\left(-5\right)^{2}-\left(-2\right)^{5}}{\left(-11\right)^{0}}\times 1+9}{\left(-2\right)^{3}}$$

Calculate -5 to the power of 2 and get 25.

$$\frac{1-\frac{9+25-\left(-2\right)^{5}}{\left(-11\right)^{0}}\times 1+9}{\left(-2\right)^{3}}$$

Add 9 and 25 to get 34.

$$\frac{1-\frac{34-\left(-2\right)^{5}}{\left(-11\right)^{0}}\times 1+9}{\left(-2\right)^{3}}$$

Calculate -2 to the power of 5 and get -32.

$$\frac{1-\frac{34-\left(-32\right)}{\left(-11\right)^{0}}\times 1+9}{\left(-2\right)^{3}}$$

The opposite of -32 is 32.

$$\frac{1-\frac{34+32}{\left(-11\right)^{0}}\times 1+9}{\left(-2\right)^{3}}$$

Add 34 and 32 to get 66.

$$\frac{1-\frac{66}{\left(-11\right)^{0}}\times 1+9}{\left(-2\right)^{3}}$$

Calculate -11 to the power of 0 and get 1.

$$\frac{1-\frac{66}{1}\times 1+9}{\left(-2\right)^{3}}$$

Anything divided by one gives itself.

$$\frac{1-66\times 1+9}{\left(-2\right)^{3}}$$

Multiply 66 and 1 to get 66.

$$\frac{1-66+9}{\left(-2\right)^{3}}$$

Subtract 66 from 1 to get -65.

$$\frac{-65+9}{\left(-2\right)^{3}}$$

Add -65 and 9 to get -56.

$$\frac{-56}{\left(-2\right)^{3}}$$

Calculate -2 to the power of 3 and get -8.

$$\frac{-56}{-8}$$

Divide -56 by -8 to get 7.

$$7$$

Factor

$$7$$