Evaluate Using Scientific Notation (2.410^4)(4.510^3)

$(2.4 \cdot 10^{4}) (4.5 \cdot 10^{3})$

Step 1

Multiply $2.4$ by $4.5$ .

$10.8 (10^{4} \cdot 10^{3})$

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.

$10.8 \cdot 10^{4 + 3}$

Add $4$ and $3$ .

$10.8 \cdot 10^{7}$

Step 3

Move the decimal point in $10.8$ to the left by $1$ place and increase the power of $10^{7}$ by $1$ .

$1.08 \cdot 10^{8}$

Evaluate Using Scientific Notation (2.4*10^4)(4.5*10^3)