What structure in a problem means that the Product Rule of Exponents will apply?
The Product Rule of Exponents applies when there is a multiplication operation involving exponential expressions with the same base. This means that if you have a problem where you are multiplying two or more terms that have exponentiation with the same base, then the Product Rule of Exponents will apply.
The Product Rule of Exponents applies when you have two or more exponential terms being multiplied together. In other words, if you have expressions in the form of a^m * a^n, where "a" is a base and "m" and "n" are exponents, then the Product Rule of Exponents will be applicable. This rule states that when multiplying exponential terms with the same base, you can add their exponents.
The Product Rule of Exponents applies when you have two or more terms being multiplied together, and each term has the same base raised to different exponents. In other words, if you have an expression of the form a^m * a^n * a^p * ..., where a is the base and m, n, p, ... are the exponents, then the Product Rule of Exponents can be applied.
To calculate the result using the Product Rule of Exponents, you need to add the exponents together while keeping the base the same. This means that a^m * a^n * a^p * ... simplifies to a^(m + n + p + ...).
For example, if you have the expression 2^3 * 2^4 * 2^2, you can apply the Product Rule of Exponents by adding the exponents together: 2^(3 + 4 + 2) = 2^9.
In summary, the structure in a problem that indicates the application of the Product Rule of Exponents is when you have multiple terms being multiplied together, each with the same base raised to different exponents.