Basic Math Examples

$(5.4 \cdot 10^{5}) (7.5 \cdot 10)$

Step 1

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

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Step 1.1

Move $10$ .

$5.4 \cdot 10 \cdot 10^{5} \cdot 7.5$

Step 1.2

Multiply $10$ by $10^{5}$ .

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Step 1.2.1

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

$5.4 \cdot (10^{1} \cdot 10^{5}) \cdot 7.5$

Step 1.2.2

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

$5.4 \cdot 10^{1 + 5} \cdot 7.5$

Step 1.3

Add $1$ and $5$ .

$5.4 \cdot 10^{6} \cdot 7.5$

Step 2

Multiply $5.4$ by $7.5$ .

$40.5 \cdot 10^{6}$

Step 3

Move the decimal point in $40.5$ to the left by $1$ place and increase the power of $10^{6}$ by $1$ .

$4.05 \cdot 10^{7}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$4.05 \cdot 10^{7}$

Expanded Form:

$40500000$