To simplify the expression (1.4×10⁵)(7×10^8), we can multiply the coefficients (1.4 and 7) and add the exponents of the powers of 10.
1.4 × 7 = 9.8
10⁵ × 10^8 = 10^(5+8) = 10^13
Therefore, the simplified expression in scientific notation is 9.8 × 10¹³.
Step-by-step explanation:
To simplify the expression (1.4×10⁵)(7×10^8) using scientific notation, we follow these steps:
1. Multiply the coefficients: 1.4 × 7 = 9.8.
2. Multiply the powers of 10: 10⁵ × 10^8 = 10^(5+8) = 10^13.
3. Combine the coefficient and the power of 10: 9.8 × 10^13.
In scientific notation, the coefficient is always a number between 1 and 10, and the power of 10 represents the number of decimal places the decimal point needs to be moved. In this case, we have a coefficient of 9.8 and a power of 10^13.
Therefore, the simplified expression in scientific notation is 9.8 × 10¹³. This means that the original expression (1.4×10⁵)(7×10^8) is equivalent to 9.8 multiplied by 10 raised to the power of 13.
Answers & Comments
Answer:
To simplify the expression (1.4×10⁵)(7×10^8), we can multiply the coefficients (1.4 and 7) and add the exponents of the powers of 10.
1.4 × 7 = 9.8
10⁵ × 10^8 = 10^(5+8) = 10^13
Therefore, the simplified expression in scientific notation is 9.8 × 10¹³.
Step-by-step explanation:
To simplify the expression (1.4×10⁵)(7×10^8) using scientific notation, we follow these steps:
1. Multiply the coefficients: 1.4 × 7 = 9.8.
2. Multiply the powers of 10: 10⁵ × 10^8 = 10^(5+8) = 10^13.
3. Combine the coefficient and the power of 10: 9.8 × 10^13.
In scientific notation, the coefficient is always a number between 1 and 10, and the power of 10 represents the number of decimal places the decimal point needs to be moved. In this case, we have a coefficient of 9.8 and a power of 10^13.
Therefore, the simplified expression in scientific notation is 9.8 × 10¹³. This means that the original expression (1.4×10⁵)(7×10^8) is equivalent to 9.8 multiplied by 10 raised to the power of 13.