Solve sqrt[140]{4}

$$\sqrt[ 140 ]{ 4 }$$

Evaluate

$$\sqrt[70]{2}\approx 1.009951291$$

Solution Steps

Rewrite 4 as 2^{2}.

$$\sqrt[140]{2^{2}}$$

Convert from radical to exponential form.

$$\left(2^{2}\right)^{\frac{1}{140}}$$

To raise a power to another power, multiply the exponents.

$$2^{\frac{2}{140}}$$

Reduce the fraction \frac{2}{140} to lowest terms by extracting and canceling out 2.

$$2^{\frac{1}{70}}$$

Convert from exponential to radical form.

$$\sqrt[70]{2}$$