Algebra Examples

$x = (9 \cdot 10^{9}) \cdot (2.6 \cdot 10^{- 6})$

Step 1

Multiply $9 \cdot 10^{9}$ by $2.6 \cdot 10^{- 6}$ .

$x = 9 \cdot 10^{9} \cdot (2.6 \cdot 10^{- 6})$

Step 2

Multiply $9 \cdot 10^{9}$ by $2.6 \cdot 10^{- 6}$ .

$x = 9 \cdot 10^{9} \cdot 2.6 \cdot 10^{- 6}$

Step 3

Simplify $9 \cdot 10^{9} \cdot 2.6 \cdot 10^{- 6}$ .

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Step 3.1

Multiply $9$ by $2.6$ .

$x = 23.4 (10^{9} \cdot 10^{- 6})$

Step 3.2

Multiply $10^{9}$ by $10^{- 6}$ by adding the exponents.

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Step 3.2.1

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

$x = 23.4 \cdot 10^{9 - 6}$

Step 3.2.2

Subtract $6$ from $9$ .

$x = 23.4 \cdot 10^{3}$

Step 3.3

Move the decimal point in $23.4$ to the left by $1$ place and increase the power of $10^{3}$ by $1$ .

$x = 2.34 \cdot 10^{4}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$x = 2.34 \cdot 10^{4}$

Expanded Form:

$x = 23400$