Algebra Examples

$10^{6} \cdot 10^{2} \cdot 10^{- 8}$

Step 1

Multiply $10^{6}$ by $10^{2}$ 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.

$10^{6 + 2} \cdot 10^{- 8}$

Step 1.2

Add $6$ and $2$ .

$10^{8} \cdot 10^{- 8}$

Step 2

Multiply $10^{8}$ by $10^{- 8}$ 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.

$10^{8 - 8}$

Step 2.2

Subtract $8$ from $8$ .

$10^{0}$

Step 3

Simplify $10^{0}$ .

$1$