Algebra Examples

$(3 \cdot 10^{4}) (4 \cdot 10^{23})$

Step 1

Multiply $3$ by $4$ .

$12 (10^{4} \cdot 10^{23})$

Step 2

Multiply $10^{4}$ by $10^{23}$ by adding the exponents.

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

$12 \cdot 10^{4 + 23}$

Add $4$ and $23$ .

$12 \cdot 10^{27}$

Step 3

Move the decimal point in $12$ to the left by $1$ place and increase the power of $10^{27}$ by $1$ .

$1.2 \cdot 10^{28}$