IDNLearn.com makes it easy to find answers and share knowledge with others. Our platform provides prompt, accurate answers from experts ready to assist you with any question you may have.
Sagot :
To simplify the expression [tex]\( m^2 \cdot m^{\frac{2}{2}} \cdot m^{-2} \)[/tex], we will follow these steps:
1. Identify and simplify each exponent:
- [tex]\( m^2 \)[/tex] is already simplified.
- [tex]\( m^{\frac{2}{2}} \)[/tex] can be simplified by reducing the fraction [tex]\(\frac{2}{2} = 1\)[/tex], so it becomes [tex]\( m^1 \)[/tex].
- [tex]\( m^{-2} \)[/tex] is already simplified.
2. Combine the expressions using properties of exponents:
- When multiplying expressions with the same base, we add their exponents:
[tex]\[ m^2 \cdot m^{1} \cdot m^{-2} \][/tex]
3. Add the exponents together:
- The exponents are [tex]\(2\)[/tex], [tex]\(1\)[/tex], and [tex]\(-2\)[/tex]:
[tex]\[ 2 + 1 + (-2) = 1 \][/tex]
4. Simplify the result:
- Therefore, the simplified expression is:
[tex]\[ m^1 \quad \text{or} \quad m \][/tex]
So, the expression [tex]\( m^2 \cdot m^{\frac{2}{2}} \cdot m^{-2} \)[/tex] in simplest form is:
[tex]\[ \boxed{m} \][/tex]
1. Identify and simplify each exponent:
- [tex]\( m^2 \)[/tex] is already simplified.
- [tex]\( m^{\frac{2}{2}} \)[/tex] can be simplified by reducing the fraction [tex]\(\frac{2}{2} = 1\)[/tex], so it becomes [tex]\( m^1 \)[/tex].
- [tex]\( m^{-2} \)[/tex] is already simplified.
2. Combine the expressions using properties of exponents:
- When multiplying expressions with the same base, we add their exponents:
[tex]\[ m^2 \cdot m^{1} \cdot m^{-2} \][/tex]
3. Add the exponents together:
- The exponents are [tex]\(2\)[/tex], [tex]\(1\)[/tex], and [tex]\(-2\)[/tex]:
[tex]\[ 2 + 1 + (-2) = 1 \][/tex]
4. Simplify the result:
- Therefore, the simplified expression is:
[tex]\[ m^1 \quad \text{or} \quad m \][/tex]
So, the expression [tex]\( m^2 \cdot m^{\frac{2}{2}} \cdot m^{-2} \)[/tex] in simplest form is:
[tex]\[ \boxed{m} \][/tex]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.