Algebra Examples

$(2 \cdot 10^{- 8}) (2.3 \cdot 10^{- 9}) (7 \cdot 10^{- 6})$

Step 1

Multiply $2$ by $2.3$ .

$4.6 (10^{- 8} \cdot 10^{- 9}) \cdot 7 \cdot 10^{- 6}$

Step 2

Multiply $10^{- 8}$ by $10^{- 9}$ 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.

$4.6 \cdot 10^{- 8 - 9} \cdot 7 \cdot 10^{- 6}$

Step 2.2

Subtract $9$ from $- 8$ .

$4.6 \cdot 10^{- 17} \cdot 7 \cdot 10^{- 6}$

Step 3

Multiply $4.6$ by $7$ .

$32.2 (10^{- 17} \cdot 10^{- 6})$

Step 4

Multiply $10^{- 17}$ by $10^{- 6}$ by adding the exponents.

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Step 4.1

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

$32.2 \cdot 10^{- 17 - 6}$

Step 4.2

Subtract $6$ from $- 17$ .

$32.2 \cdot 10^{- 23}$

Step 5

Move the decimal point in $32.2$ to the left by $1$ place and increase the power of $10^{- 23}$ by $1$ .

$3.22 \cdot 10^{- 22}$