Evaluate Using Scientific Notation (4.510^4)(6.2*10^3)

$(4.5 \cdot 10^{4}) \cdot (6.2 \cdot 10^{3})$

Step 1

Multiply $4.5$ by $6.2$ .

$27.9 (10^{4} \cdot 10^{3})$

Step 2

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

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

$27.9 \cdot 10^{4 + 3}$

Add $4$ and $3$ .

$27.9 \cdot 10^{7}$

Step 3

Move the decimal point in $27.9$ to the left by $1$ place and increase the power of $10^{7}$ by $1$ .

$2.79 \cdot 10^{8}$

Evaluate Using Scientific Notation (4.5*10^4)*(6.2*10^3)