Discover a wealth of knowledge and get your questions answered on IDNLearn.com. Get accurate and timely answers to your queries from our extensive network of experienced professionals.

The sum of the exponents of the variables in the expression [tex][tex]$6 w x y^3 z^2$[/tex][/tex] is [tex][tex]$\square$[/tex][/tex]

Sagot :

To find the sum of the exponents of the variables in the expression [tex]\(6 w x y^3 z^2\)[/tex], let's break it down step-by-step:

1. Identify the variables and their exponents:
- The variable [tex]\(w\)[/tex] has an exponent of 1 (since [tex]\(w\)[/tex] can be written as [tex]\(w^1\)[/tex]).
- The variable [tex]\(x\)[/tex] has an exponent of 1 (since [tex]\(x\)[/tex] can be written as [tex]\(x^1\)[/tex]).
- The variable [tex]\(y\)[/tex] has an exponent of 3 (as shown in the expression [tex]\(y^3\)[/tex]).
- The variable [tex]\(z\)[/tex] has an exponent of 2 (as shown in the expression [tex]\(z^2\)[/tex]).

2. List out the exponents:
- [tex]\(w\)[/tex] has an exponent of 1.
- [tex]\(x\)[/tex] has an exponent of 1.
- [tex]\(y\)[/tex] has an exponent of 3.
- [tex]\(z\)[/tex] has an exponent of 2.

3. Sum the exponents:
- Add the exponents together: [tex]\(1 + 1 + 3 + 2\)[/tex].

4. Calculate the total:
- [tex]\(1 + 1 = 2\)[/tex]
- [tex]\(2 + 3 = 5\)[/tex]
- [tex]\(5 + 2 = 7\)[/tex]

Therefore, the sum of the exponents of the variables in the expression [tex]\(6 w x y^3 z^2\)[/tex] is [tex]\(7\)[/tex].