Find each product or quotient. express using exponents
4. Neutral water has a pH of 7. Each one-unit decrease i the pH means that the solution is 10 times more acidic. How much more acidic vinegar is than baking soda if vinegar has a ph of 3 and baking soda has a ph of 9? I think the answer is 10 to the 6th power but I don't know how to write out my work.
vinegar - pH 3
baking soda - pH 9
9 - 3 = 6 units diff.
10 x 6 = 60x as acidic
10^6 = 1 million, so I can't see how that is right
10^1.77815 = 60
or, 6 x 10^1 = 60
is this a pre-algebra question or science?
its my pre-algebra homework
3/5.2/3
To find out how much more acidic vinegar is than baking soda, we need to calculate the difference in pH levels and express it using exponents.
Given:
pH of vinegar = 3
pH of baking soda = 9
Since each one-unit decrease in pH means that the solution is 10 times more acidic, to find the difference, we subtract the pH of baking soda from the pH of vinegar:
3 - 9 = -6
The difference in pH between vinegar and baking soda is -6. Since we want to express it using exponents, we can rewrite it as 10 to the power of -6, which means 10 raised to the -6th power.
The final answer, expressing the difference in acidity, is 10^(-6).