(5/7) 2 = 5 2 /7 2 = 25 /49.

Quotient of powers examples. Write your answer as a power. According to the property, the common exponent on the division of numbers can be equally distributed among the numerator and denominator. • the same base does not appear more than once in a product or quotient.

This is an easy one; 2 4 and 5 4 are two exponential terms in which the exponents are same but their bases are different. Rewrite powers of products and quotients.

Quotient of powers is a formula that lets us simplify terms with exponents that need to be divided. Powers with the same base can be divided by subtracting their exponents. Now, divide 2 4 by 5 4 for obtaining the quotient of them.

When you multiply two powers with the same base, you add the exponents. So when you divide two powers with the same base, you subtract the exponents. In this process, we subtract.

For example, (3⁵⋅x³)² can be written as 3¹⁰⋅x⁶. Whenever we have a constant (a number by itself without a variable), the derivative is just 0. Don’t worry if that doesn’t make sense off the bat;

Examples of how to find the quotient of powers of rational and equal bases division of rational and equal base powers. However, we should start by remembering that in the mathematical. Rewrite powers of products and quotients.