Evaluate Using Scientific Notation (4.310^5)(2.610^7)

$(4.3 \cdot 10^{5}) (2.6 \cdot 10^{7})$

Step 1

Multiply $4.3$ by $2.6$ .

$11.18 (10^{5} \cdot 10^{7})$

Step 2

Multiply $10^{5}$ by $10^{7}$ by adding the exponents.

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

$11.18 \cdot 10^{5 + 7}$

Add $5$ and $7$ .

$11.18 \cdot 10^{12}$

Step 3

Move the decimal point in $11.18$ to the left by $1$ place and increase the power of $10^{12}$ by $1$ .

$1.118 \cdot 10^{13}$

Evaluate Using Scientific Notation (4.3*10^5)(2.6*10^7)