Solve 0.01*10*1.5^9+8*4*1.5^3-100

$$0.01 \times 10 \times { 1.5 }^{ 9 } +8 \times 4 \times { 1.5 }^{ 3 } -100$$

Evaluate

$$11.8443359375$$

Solution Steps

Multiply 0.01 and 10 to get 0.1.

$$0.1\times 1.5^{9}+8\times 4\times 1.5^{3}-100$$

Calculate 1.5 to the power of 9 and get 38.443359375.

$$0.1\times 38.443359375+8\times 4\times 1.5^{3}-100$$

Multiply 0.1 and 38.443359375 to get 3.8443359375.

$$3.8443359375+8\times 4\times 1.5^{3}-100$$

Multiply 8 and 4 to get 32.

$$3.8443359375+32\times 1.5^{3}-100$$

Calculate 1.5 to the power of 3 and get 3.375.

$$3.8443359375+32\times 3.375-100$$

Multiply 32 and 3.375 to get 108.

$$3.8443359375+108-100$$

Add 3.8443359375 and 108 to get 111.8443359375.

$$111.8443359375-100$$

Subtract 100 from 111.8443359375 to get 11.8443359375.

$$11.8443359375$$

Factor

$$\frac{11 \cdot 37 \cdot 149}{5 \cdot 2 ^ {10}} = 11\frac{4323}{5120} = 11.8443359375$$