Answer:
b: 4^10
Step-by-step explanation:
In order to solve this question, you would need to know your exponent properties. I've attached a chart that can help you in the future. For this question, we would look at the first row, labeled 'product rule'. This explains to us what to do in a scenario where you are multiplying two terms which are the same but have different exponents (the product rule, in case you can't view the file, is: a^x × a^y = a^x + y). To do this, you keep the base (4) the same and add the exponents. 4^2 × 4^8 = 4^2+8 = 4^10. We do this because we are now multiplying the base by itself an added amount of times. If we expanded 4^2 × 4^8, we would get (4×4) × (4×4×4×4×4×4×4×4). If you were to count it up and write it in exponential form, you would end up with 4^10. Using a calculator to find 4^2 × 4^8 gives you 1,048,576, which is also the product of 4^10.
