Write in Standard Form (510^3)(9*10^7)

$(5 \cdot 10^{3}) \cdot (9 \cdot 10^{7})$

Step 1

Multiply $5$ by $9$ .

$45 (10^{3} \cdot 10^{7})$

Step 2

Multiply $10^{3}$ by $10^{7}$ by adding the exponents.

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

$45 \cdot 10^{3 + 7}$

Add $3$ and $7$ .

$45 \cdot 10^{10}$

Step 3

Move the decimal point in $45$ to the left by $1$ place and increase the power of $10^{10}$ by $1$ .

$4.5 \cdot 10^{11}$

Write in Standard Form (5*10^3)*(9*10^7)