Evaluate Using Scientific Notation (2.610^4)(4.510^12)

$(2.6 \cdot 10^{4}) (4.5 \cdot 10^{12})$

Step 1

Multiply $2.6$ by $4.5$ .

$11.7 (10^{4} \cdot 10^{12})$

Step 2

Multiply $10^{4}$ by $10^{12}$ by adding the exponents.

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

$11.7 \cdot 10^{4 + 12}$

Add $4$ and $12$ .

$11.7 \cdot 10^{16}$

Step 3

Move the decimal point in $11.7$ to the left by $1$ place and increase the power of $10^{16}$ by $1$ .

$1.17 \cdot 10^{17}$

Evaluate Using Scientific Notation (2.6*10^4)(4.5*10^12)