Use the calculator to find the product. (1.466 × 10–8)(5.02 × 105) What is the coefficient of the product? What is the exponent of the power in the product?
Accepted Solution
A:
The product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].The given expression is:[tex](1.466*10^{-8} )(5.02*10^5)[/tex]We can rewrite the given expression as[tex](1.466*5.02)(10^{-8} *10^5)[/tex]What is the exponent addition rule? If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.[tex]a^m*a^n = a^{m+n}[/tex][tex]1.466*5.02=7.35932[/tex][tex]10^{-8} *10^5 = 10^{-3}[/tex]....from exponent addition ruleSo, [tex](1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}[/tex]Therefore, the product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].To get more about exponents visit: