Basic Math Examples

${(6.7 \cdot 10^{11})}^{2}$

Step 1

Apply the product rule to $6.7 \cdot 10^{11}$ .

${6.7}^{2} \cdot {(10^{11})}^{2}$

Step 2

Raise $6.7$ to the power of $2$ .

$44.89 \cdot {(10^{11})}^{2}$

Step 3

Multiply the exponents in ${(10^{11})}^{2}$ .

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Step 3.1

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

$44.89 \cdot 10^{11 \cdot 2}$

Step 3.2

Multiply $11$ by $2$ .

$44.89 \cdot 10^{22}$

Step 4

Move the decimal point in $44.89$ to the left by $1$ place and increase the power of $10^{22}$ by $1$ .

$4.489 \cdot 10^{23}$