Simplify. Your answer should be in proper scientific notation: 3(6×10^(5))

Question

Simplify. Your answer should be in proper scientific notation:  3(6×10^(5))

Bytelearn · Accepted Answer

Multiply Coefficients: Multiply the coefficients (the numbers in front of the powers of 10). We have 3 and 6 as coefficients. Multiplying these gives us 3 × 6 = 18.Maintain Exponent: Since the power of 10 is the same in both terms (10^(5)), we do not need to do anything with the exponent during the multiplication. The expression now looks like 18 × 10^(5).Check Coefficient Range: Check if the coefficient (18) is in the proper form for scientific notation. The coefficient for scientific notation should be greater than or equal to 1 and less than 10. Since 18 is not in this range, we need to adjust it.Convert Coefficient: Convert the coefficient to a number between 1 and 10. To do this, we can express 18 as 1.8 × 10. We have effectively moved the decimal place one position to the left, which is equivalent to multiplying by 10.Combine Powers: Combine the powers of 10. We now have 1.8 × 10 × 10^(5). When we multiply powers of 10, we add the exponents. This gives us 1.8 × 10^(1+5) = 1.8 × 10^(6).Write Final Answer: Write the final answer in proper scientific notation. The final answer is 1.8 × 10^(6).

Simplify. Your answer should be in proper scientific notation: $\newline$ $3\left(6 \times 10^{5}\right)$

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Simplify. Your answer should be in proper scientific notation: $\newline$ $3\left(6 \times 10^{5}\right)$