Simplify (10^310^-510^10)/(10^6)

$\frac{10^{3} \cdot 10^{- 5} \cdot 10^{10}}{10^{6}}$

Step 1

Multiply $10^{3}$ by $10^{- 5}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{10^{3 - 5} \cdot 10^{10}}{10^{6}}$

Subtract $5$ from $3$ .

$\frac{10^{- 2} \cdot 10^{10}}{10^{6}}$

Step 2

Multiply $10^{- 2}$ by $10^{10}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{10^{- 2 + 10}}{10^{6}}$

Add $- 2$ and $10$ .

$\frac{10^{8}}{10^{6}}$

Step 3

Cancel the common factor of $10^{8}$ and $10^{6}$ .

Factor $10^{6}$ out of $10^{8}$ .

$\frac{10^{6} \cdot 10^{2}}{10^{6}}$

Cancel the common factors.

Multiply by $1$ .

$\frac{10^{6} \cdot 10^{2}}{10^{6} \cdot 1}$

Cancel the common factor.

$\frac{10^{6} \cdot 10^{2}}{10^{6} \cdot 1}$

Rewrite the expression.

$\frac{10^{2}}{1}$

Divide $10^{2}$ by $1$ .

$10^{2}$

Step 4

Raise $10$ to the power of $2$ .

$100$

Simplify (10^3*10^-5*10^10)/(10^6)