Question

7. Simplify the expression. Write the answer using scientific notation.

(0.4x10-6)(0.7x10-2)
O 2.8 x 10-7
O 2.8 x 10-8
O 0.28 x 10-9
O 2.8 x 10-9

Answer 1

To simplify the expression (0.4x10-6)(0.7x10-2), multiply the coefficients0.4 and 0.7 and add the exponents -6 and -2 to obtain the simplified expression in scientific notation: 0.28 x 10-8.

Step-by-step explanation:

A mathematical expression is a combination of numbers, variables, and operations such as addition, subtraction, multiplication, and division. It represents a concise way to describe a mathematical relationship or calculation, providing a clear and structured representation of a mathematical idea or problem.

To simplify the expression (0.4x10-6)(0.7x10-2), we multiply the coefficients (0.4)(0.7) and add the exponents (-6)+(-2) to obtain the final answer.

0.4 x 0.7 = 0.28

10-6 x 10-2 = 10-6+(-2) = 10-8

Therefore, the simplified expression in scientific notation is 0.28 x 10-8.