Solve 1/72[3(1.5*3000)^2]^12

$$\frac { 1 } { 72 } [ 3 ( 1.5 \times 3000 ) ^ { 2 } ] ^ { 12 }$$

Evaluate

$$35093193480716979763817814655601978302001953125000000000000000000000000000000000000000000000$$

Solution Steps

Multiply 1.5 and 3000 to get 4500.

$$\frac{1}{72}\times \left(3\times 4500^{2}\right)^{12}$$

Calculate 4500 to the power of 2 and get 20250000.

$$\frac{1}{72}\times \left(3\times 20250000\right)^{12}$$

Multiply 3 and 20250000 to get 60750000.

$$\frac{1}{72}\times 60750000^{12}$$

Calculate 60750000 to the power of 12 and get 2526709930611622542994882655203342437744140625000000000000000000000000000000000000000000000000.

$$\frac{1}{72}\times 2526709930611622542994882655203342437744140625000000000000000000000000000000000000000000000000$$

Multiply \frac{1}{72} and 2526709930611622542994882655203342437744140625000000000000000000000000000000000000000000000000 to get 35093193480716979763817814655601978302001953125000000000000000000000000000000000000000000000.

$$35093193480716979763817814655601978302001953125000000000000000000000000000000000000000000000$$

Factor

$$2^{45}\times 3^{58}\times 5^{72}$$