Trigonometry Examples

$\sqrt[3]{4.32 \cdot 10^{- 23}}$

Step 1

Rewrite $4.32 \cdot 10^{- 23}$ as $43.2 \cdot 10^{- 24}$ .

$\sqrt[3]{43.2 \cdot 10^{- 24}}$

Step 2

Rewrite $\sqrt[3]{43.2 \cdot 10^{- 24}}$ as $\sqrt[3]{43.2} \cdot \sqrt[3]{10^{- 24}}$ .

$\sqrt[3]{43.2} \cdot \sqrt[3]{10^{- 24}}$

Step 3

Evaluate the root.

$3.50882128 \cdot \sqrt[3]{10^{- 24}}$

Step 4

Rewrite $10^{- 24}$ as ${(10^{- 8})}^{3}$ .

$3.50882128 \cdot \sqrt[3]{{(10^{- 8})}^{3}}$

Step 5

Pull terms out from under the radical, assuming real numbers.

$3.50882128 \cdot 10^{- 8}$