Question

How do you MULTIPLE exponents of like variables?

Answer 1

I believe there might be a slight typographical error in your question. If you're asking about multiplying exponents with like variables, here's the correct explanation:

When you have like variables with exponents and you want to multiply them, you can use the rule:

a^m •a^n=a^m+n

This rule states that when you multiply two terms with the same base (here, "a") and different exponents (m and n), you can add the exponents to find the result.

For example:

x^3 x^4 = x^3+4 = x^7

So, when multiplying like variables with exponents, add the exponents to simplify the expression.

Answer 2

When you have multiple exponents of like variables, you can simplify the expression by adding the exponents together. For example, if you have x^2 * x³, you can add the exponents to get x^(2+3) = x⁵.

Step-by-step explanation:

When dealing with multiple exponents of like variables, you can simplify the expression by using the properties of exponents. For instance, if you have x^2 * x³, you can add the exponents together because they have the same base (x). This results in x^(2+3) = x⁵. The rule here is that when multiplying like bases with exponents, you add the exponents together. This is due to the property of exponents which states that when you multiply like bases, you add the exponents.

In general, for any variable "a" raised to the power of "m" multiplied by "a" raised to the power of "n", where "a" is a variable and "m" and "n" are exponents, the result is a^(m+n). This means that when multiplying like bases with different exponents, you simply add the exponents together to get the final result.

Understanding how to handle multiple exponents of like variables is crucial in simplifying algebraic expressions and solving equations involving exponents. By applying the rule of adding exponents when multiplying like bases, you can efficiently simplify expressions and solve problems involving variables raised to different powers.