Algebra Examples

${(3.5 \cdot 10^{3})}^{2}$

Step 1

Apply the product rule to $3.5 \cdot 10^{3}$ .

${3.5}^{2} \cdot {(10^{3})}^{2}$

Step 2

Raise $3.5$ to the power of $2$ .

$12.25 \cdot {(10^{3})}^{2}$

Step 3

Multiply the exponents in ${(10^{3})}^{2}$ .

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Step 3.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$12.25 \cdot 10^{3 \cdot 2}$

Step 3.2

Multiply $3$ by $2$ .

$12.25 \cdot 10^{6}$

Step 4

Move the decimal point in $12.25$ to the left by $1$ place and increase the power of $10^{6}$ by $1$ .

$1.225 \cdot 10^{7}$

Step 5

The result can be shown in multiple forms.

Scientific Notation:

$1.225 \cdot 10^{7}$

Expanded Form:

$12250000$