Basic Math Examples

$10^{2} \cdot 10^{- 4} \cdot 10^{5}$

Step 1

Multiply $10^{2}$ by $10^{- 4}$ by adding the exponents.

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Step 1.1

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

$10^{2 - 4} \cdot 10^{5}$

Step 1.2

Subtract $4$ from $2$ .

$10^{- 2} \cdot 10^{5}$

Step 2

Multiply $10^{- 2}$ by $10^{5}$ by adding the exponents.

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Step 2.1

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

$10^{- 2 + 5}$

Step 2.2

Add $- 2$ and $5$ .

$10^{3}$

Step 3

Raise $10$ to the power of $3$ .

$1000$