Calculate: (-4 × 10^5)(-2 × 10^-6) Write your answer in scientific notation.
Answer (1)
To solve the problem ( − 4 × 1 0 5 ) × ( − 2 × 1 0 − 6 ) and write the result in scientific notation, follow these steps:
Multiply the coefficients (-4 and -2):
− 4 × − 2 = 8
Multiply the powers of 10:
According to the laws of exponents, when multiplying terms with the same base, you add the exponents:
1 0 5 × 1 0 − 6 = 1 0 5 + ( − 6 ) = 1 0 − 1
Combine the results:
Now, combine the coefficient with the power of 10:
8 × 1 0 − 1
Express in scientific notation:
The final answer in scientific notation is:
8 × 1 0 − 1
Therefore, the product of ( − 4 × 1 0 5 ) and ( − 2 × 1 0 − 6 ) is 8 × 1 0 − 1 in scientific notation.
