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What is the product of 70 and 1.8 x 10³ expressed in scientific notation? a. 1.26 x 10⁵ b. 12.6 x 10⁴ c. 0.126 x 10⁶

d. 126,000

User SySyBy
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Final answer:

The correct product of the problem is 70 and 1.8 x 10³ expressed in scientific notation is 1.26 x 10⁵.\

Step-by-step explanation:

The product of 70 and 1.8 x 10³ expressed in scientific notation is calculated by multiplying the two numbers. To do this:

1. Multiply the numerical parts: 70 x 1.8 = 126.

2. Combine the powers of 10: 10° (from the 70, because 70 = 7 x 10±) and 10³. Since the exponents are the same base (10), you add the exponents: 0 + 3 = 3.

3. Therefore, the product in scientific notation is 1.26 x 10⁵ (since 126 = 1.26 x 10² and you need to add the exponent from the original power of 1.8 x 10³).

The correct answer to the question is option a. 1.26 x 10⁵.

User KindOfGuy
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