Multiply: 8 · (4 × 10⁻⁴) 4 × 10⁻² 4 × 10⁻³ 3.2 × 10⁻³ 3.2 × 10⁻²

To multiply the numbers, follow these steps:

1. Multiply the coefficients: Here, you have 8 and 4.

[

8 times 4 = 32

]

2. Add the exponents: When multiplying numbers in scientific notation, add the exponents of the powers of 10.

– The first term has (10^{-4}) and the second term has (10^{-2}).

[

-4 + (-2) = -6

]

3. Combine the results: Now, put the coefficient and the power of 10 together.

[

32 times 10^{-6}

]

4. Convert to proper scientific notation: We typically express numbers in scientific notation with a coefficient between 1 and 10. So, we need to convert 32 into (3.2):

[

32 times 10^{-6} = 3.2 times 10^{-5}

]

Therefore, the answer is (3.2 times 10^{-5}).

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