Multiply. Write your answer in scientific notation. 45 · (2 × 10⁻²) Submit

To solve the multiplication ( 45 times (2 times 10^{-2}) ), follow these steps:

1. Multiply the whole numbers:

( 45 times 2 = 90 ).

2. Keep the power of ten:

We still have ( 10^{-2} ).

3. Combine the results:

This gives us ( 90 times 10^{-2} ).

4. Convert to scientific notation:

To express ( 90 ) in scientific notation, write it as ( 9.0 times 10^1 ). So,

( 90 times 10^{-2} ) can be rewritten as ( 9.0 times 10^1 times 10^{-2} ).

5. Combine the powers of ten:

( 10^1 times 10^{-2} = 10^{1-2} = 10^{-1} ).

6. Final answer in scientific notation:

Combine ( 9.0 ) and ( 10^{-1} ):

[

9.0 times 10^{-1}

]

So, the answer is ( 9.0 times 10^{-1} ).