Solve (1/2)^-98*(1/4)^-50div(1/8)^-34

$$( \frac { 1 } { 2 } ) ^ { - 98 } \times ( \frac { 1 } { 4 } ) ^ { - 50 } \div ( \frac { 1 } { 8 } ) ^ { - 34 }$$

Evaluate

$$79228162514264337593543950336$$

Solution Steps

Calculate \frac{1}{2} to the power of -98 and get 316912650057057350374175801344.

$$\frac{316912650057057350374175801344\times \left(\frac{1}{4}\right)^{-50}}{\left(\frac{1}{8}\right)^{-34}}$$

Calculate \frac{1}{4} to the power of -50 and get 1267650600228229401496703205376.

$$\frac{316912650057057350374175801344\times 1267650600228229401496703205376}{\left(\frac{1}{8}\right)^{-34}}$$

Multiply 316912650057057350374175801344 and 1267650600228229401496703205376 to get 401734511064747568885490523085290650630550748445698208825344.

$$\frac{401734511064747568885490523085290650630550748445698208825344}{\left(\frac{1}{8}\right)^{-34}}$$

Calculate \frac{1}{8} to the power of -34 and get 5070602400912917605986812821504.

$$\frac{401734511064747568885490523085290650630550748445698208825344}{5070602400912917605986812821504}$$

Divide 401734511064747568885490523085290650630550748445698208825344 by 5070602400912917605986812821504 to get 79228162514264337593543950336.

$$79228162514264337593543950336$$

Factor

$$2^{96}$$