Solve d=sqrt[3]{138*10^-23*273/10^5}=

$$d = \sqrt[ 3 ]{ \frac{ 138 \times { 10 }^{ -23 } \times 273 }{ { 10 }^{ 5 } } } =$$

Solve for d

$$d=\frac{\sqrt[3]{18837}\times 5^{\frac{2}{3}}}{5000000000}\approx 0.000000016$$

Steps for Solving Linear Equation

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

$$d=\sqrt[3]{\frac{138\times 273}{10^{28}}}$$

Multiply 138 and 273 to get 37674.

$$d=\sqrt[3]{\frac{37674}{10^{28}}}$$

Calculate 10 to the power of 28 and get 10000000000000000000000000000.

$$d=\sqrt[3]{\frac{37674}{10000000000000000000000000000}}$$

Reduce the fraction \frac{37674}{10000000000000000000000000000} to lowest terms by extracting and canceling out 2.

$$d=\sqrt[3]{\frac{18837}{5000000000000000000000000000}}$$

Assign d

$$d≔\frac{\sqrt[3]{18837}\times 5^{\frac{2}{3}}}{5000000000}$$