scientific notation of (9x10^3)x(8x10^6)

Answer 1

To multiply the numbers in scientific notation \((9 \times 10^3) \times (8 \times 10^6)\), you can follow these steps:

1. Multiply the coefficients: \(9 \times 8 = 72\)
2. Add the exponents of the base 10: \(10^3 \times 10^6 = 10^{3+6} = 10^9\)

Now, combine the results:

\[ 72 \times 10^9 \]

Since \(72\) is not between 1 and 10, you can convert it to proper scientific notation by writing \(72\) as \(7.2 \times 10^1\):

\[ 72 \times 10^9 = 7.2 \times 10^1 \times 10^9 \]

Now, add the powers of 10:

\[ 7.2 \times 10^{1+9} = 7.2 \times 10^{10} \]

So, the final answer in scientific notation is:

\[ \boxed{7.2 \times 10^{10}} \]