Evaluate. Express each result in scientific and standard notation.
(4 x 10^2)(15 x 10^-6)
To evaluate the given expression, you need to multiply the two numbers:
(4 x 10^2)(15 x 10^-6)
First, we can multiply 4 and 15 to get 60:
60(10^2 x 10^-6)
Next, we need to multiply the two powers of 10. When multiplying numbers with the same base, we add the exponents:
10^2 x 10^-6 = 10^(2 + -6) = 10^-4
Substituting this result back into our expression:
60 x 10^-4
To express the result in scientific notation, we write it as a decimal number between 1 and 10 multiplied by a power of 10. In this case, we can write 60 as 6.0 and the power of 10 as -4:
6.0 x 10^-4
In standard notation, we can rewrite the expression using the decimal form of the number without any power of 10:
0.0006