Multiply. Write your answer in scientific \( 2 \cdot\left(9 \times 10^{1}\right) \)

To tackle the multiplication, you start by multiplying the numbers together. So, \(2 \cdot 9 = 18\). Now, since you're also working with a power of ten, you convey this in scientific notation. \(18\) can be expressed as \(1.8 \times 10^{1}\). Therefore, when you combine it with the original power of ten, you get: \(1.8 \times 10^{1} \times 10^{1} = 1.8 \times 10^{2}\). So, the final answer is \(1.8 \times 10^{2}\). Now, let’s sprinkle in a bit of fun! Did you know scientific notation is like the superhero of numbers? It helps us manage really big or really tiny values with style! Just think of it as putting a giant number in a sleek, simple suit that makes it easy to read and handle! And just so you know, making mistakes in scientific notation can happen when you forget to add or subtract exponents correctly. Take a moment to check those exponents; it's like making sure your cape is fastened before flying off to tackle those math problems!