Basic Math Examples

$(4) (10^{4}) \cdot 5.021 \cdot 10^{- 3} \cdot 7.34993 \cdot 10^{2}$

Step 1

Multiply $10^{4}$ by $10^{- 3}$ by adding the exponents.

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Step 1.1

Move $10^{- 3}$ .

$4 (10^{- 3} \cdot 10^{4}) \cdot 5.021 \cdot 7.34993 \cdot 10^{2}$

Step 1.2

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

$4 \cdot 10^{- 3 + 4} \cdot 5.021 \cdot 7.34993 \cdot 10^{2}$

Step 1.3

Add $- 3$ and $4$ .

$4 \cdot 10^{1} \cdot 5.021 \cdot 7.34993 \cdot 10^{2}$

Step 2

Simplify $4 \cdot 10^{1} \cdot 5.021 \cdot 7.34993 \cdot 10^{2}$ .

$4 \cdot 10 \cdot 5.021 \cdot 7.34993 \cdot 10^{2}$

Step 3

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

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Step 3.1

Move $10^{2}$ .

$4 \cdot (10^{2} \cdot 10) \cdot 5.021 \cdot 7.34993$

Step 3.2

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

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Step 3.2.1

Raise $10$ to the power of $1$ .

$4 \cdot (10^{2} \cdot 10^{1}) \cdot 5.021 \cdot 7.34993$

Step 3.2.2

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

$4 \cdot 10^{2 + 1} \cdot 5.021 \cdot 7.34993$

Step 3.3

Add $2$ and $1$ .

$4 \cdot 10^{3} \cdot 5.021 \cdot 7.34993$

Step 4

Multiply $4$ by $5.021$ .

$20.084 \cdot 10^{3} \cdot 7.34993$

Step 5

Multiply $20.084$ by $7.34993$ .

$147.61599412 \cdot 10^{3}$

Step 6

Move the decimal point in $147.61599412$ to the left by $2$ places and increase the power of $10^{3}$ by $2$ .

$1.47615994 \cdot 10^{5}$

Step 7

The result can be shown in multiple forms.

Scientific Notation:

$1.47615994 \cdot 10^{5}$

Expanded Form:

$147615.99412$