Multiply. Write your answer in scientific notation. 900 · (2.7 × 10^34) ______________ Submit

To multiply ( 900 ) by ( (2.7 times 10^{34}) ), we first rewrite ( 900 ) in scientific notation.

1. Convert ( 900 ) to scientific notation:

[

900 = 9.0 times 10^{2}

]

2. Now, multiply the two numbers:

[

(9.0 times 10^{2}) times (2.7 times 10^{34}) = (9.0 times 2.7) times (10^{2} times 10^{34})

]

3. Calculate ( 9.0 times 2.7 ):

[

9.0 times 2.7 = 24.3

]

4. Add the exponents of ( 10 ):

[

10^{2} times 10^{34} = 10^{(2+34)} = 10^{36}

]

5. Combine the results:

[

24.3 times 10^{36}

]

Since ( 24.3 ) is not between 1 and 10, we need to convert it:

[

24.3 = 2.43 times 10^{1}

]

So, we have:

[

(2.43 times 10^{