Solve d=sqrt[3]{1.38*10^-23*273/10^5}=

$$d = \sqrt[ 3 ]{ \frac{ 1.38 \times { 10 }^{ -23 } \times 273 }{ { 10 }^{ 5 } } } =$$

Solve for d

$$d=\frac{\sqrt[3]{18837}\times 4^{\frac{2}{3}}}{20000000000}\approx 3.352333712 \cdot 10^{-9}$$

Steps for Solving Linear Equation

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$d=\sqrt[3]{\frac{1.38\times 273}{10^{28}}}$$

Multiply 1.38 and 273 to get 376.74.

$$d=\sqrt[3]{\frac{376.74}{10^{28}}}$$

Calculate 10 to the power of 28 and get 10000000000000000000000000000.

$$d=\sqrt[3]{\frac{376.74}{10000000000000000000000000000}}$$

Expand \frac{376.74}{10000000000000000000000000000} by multiplying both numerator and the denominator by 100.

$$d=\sqrt[3]{\frac{37674}{1000000000000000000000000000000}}$$

Reduce the fraction \frac{37674}{1000000000000000000000000000000} to lowest terms by extracting and canceling out 2.

$$d=\sqrt[3]{\frac{18837}{500000000000000000000000000000}}$$

Assign d

$$d≔\frac{\sqrt[3]{18837}\times 4^{\frac{2}{3}}}{20000000000}$$