Evaluate Using Scientific Notation (5.310^4)(4.210^3)

$(5.3 \cdot 10^{4}) (4.2 \cdot 10^{3})$

Step 1

Multiply $5.3$ by $4.2$ .

$22.26 (10^{4} \cdot 10^{3})$

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.

$22.26 \cdot 10^{4 + 3}$

Add $4$ and $3$ .

$22.26 \cdot 10^{7}$

Step 3

Move the decimal point in $22.26$ to the left by $1$ place and increase the power of $10^{7}$ by $1$ .

$2.226 \cdot 10^{8}$

Evaluate Using Scientific Notation (5.3*10^4)(4.2*10^3)