The power of a quotient rule of exponents is used to find the result of a quotient that is raised to an exponent. This law says, "Distribute the exponent to both the numerator and the denominator." Here, the bases are different and the exponents are the same for both the bases.
Distributive Property of Exponents If an exponent acts on single term in parentheses, we can distribute the exponent over the term.
Explanation: These exponents have the same base, x, so they can be divided. To divide them, you take the exponent value in the numerator (the top exponent) and subtract the exponent value of the denominator (the bottom exponent).
Now 18 divided by six is three. And seven minus three is four so the answer is three times ten toMoreNow 18 divided by six is three. And seven minus three is four so the answer is three times ten to the four.
The basic rule for dividing exponents with the same base is that we subtract the given powers. This is also known as the Quotient Property of Exponents.
They're usually small numbers, easy to work with, and once you know a few rules they can become the fun part of simplifying and solving rational (containing both a numerator and a denominator) expressions. Since exponents are just a special form of multiplication, they fit right into the Distributive Property.
Correct answer: An exponent outside of a parentheses needs to be distributed to all the numbers and variables in the parentheses. An exponent raised to an exponent should be multiplied.
Answer and Explanation: Since distribution is multiplication, and exponential operations come before multiplication ing to PEMDAS, we can conclude that exponentiation comes before distribution.
Using the law of exponents, you divide the variables by subtracting the powers. Subtracting the powers leads to negative exponents, so you can write it as a fraction so that you have positive exponents.
Step 1: Isolate the exponential expression. Step 2: Take the natural log of both sides. Step 3: Use the properties of logs to pull the x out of the exponent. Step 4: Solve for x.