Solve (0,125)^17*(2^16)^3

$$( 0,125 ) ^ { 17 } \times ( 2 ^ { 16 } ) ^ { 3 }$$

Evaluate

$$0,125$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 16 and 3 to get 48.

$$0,125^{17}\times 2^{48}$$

Calculate 0,125 to the power of 17 and get 0,000000000000000444089209850062616169452667236328125.

$$0,000000000000000444089209850062616169452667236328125\times 2^{48}$$

Calculate 2 to the power of 48 and get 281474976710656.

$$0,000000000000000444089209850062616169452667236328125\times 281474976710656$$

Multiply 0,000000000000000444089209850062616169452667236328125 and 281474976710656 to get 0,125.

$$0,125$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$