Multiply. Write your answer in scientific notation. 0.0053 · (4 × 10³³) Submit.

To multiply the numbers and express the result in scientific notation, follow these steps:

1. Multiply the coefficients:

– 0.0053 (which is 5.3 × 10⁻³) and 4

– ( 5.3 times 4 = 21.2 )

2. Combine the powers of ten:

– You have ( 10^{-3} ) and ( 10^{33} )

– ( 10^{-3} times 10^{33} = 10^{30} ) (because you add the exponents: -3 + 33 = 30)

3. Put it all together:

– Combine the coefficient and the power of ten:

– ( 21.2 times 10^{30} )

4. Convert to proper scientific notation:

– In scientific notation, the coefficient should be between 1 and 10.

– Therefore, ( 21.2 ) can be expressed as ( 2.12 times 10^1 ),

– Thus, ( 2.12 times 10^1 times 10^{30} = 2.12 times 10^{31} ).

So, the final answer is:

( 2.12 times 10^{31} ).

Let me know if you need further assistance!