Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Simplify the following:

[tex]\frac{5x^6 y^7}{10x^2 y^4}[/tex]

Sagot :

GinnyAnswer
Sure! Let's simplify the given expression step-by-step:

[tex]\[ \frac{5 x^6 y^7}{10 x^2 y^4} \][/tex]

1. Separate the coefficients from the variables:

The expression can be broken down into three parts: the numerical coefficient, the powers of [tex]\(x\)[/tex], and the powers of [tex]\(y\)[/tex].

[tex]\[ \frac{5}{10} \cdot \frac{x^6}{x^2} \cdot \frac{y^7}{y^4} \][/tex]

2. Simplify the coefficients:

Simplify the fraction [tex]\(\frac{5}{10}\)[/tex]:

[tex]\[ \frac{5}{10} = 0.5 \][/tex]

3. Simplify the powers of [tex]\(x\)[/tex]:

Apply the rule of exponents [tex]\(\frac{a^m}{a^n} = a^{m-n}\)[/tex]:

[tex]\[ \frac{x^6}{x^2} = x^{6-2} = x^4 \][/tex]

4. Simplify the powers of [tex]\(y\)[/tex]:

Similarly, apply the exponent rule:

[tex]\[ \frac{y^7}{y^4} = y^{7-4} = y^3 \][/tex]

5. Combine the simplified parts:

Putting it all together, we get:

[tex]\[ 0.5 \cdot x^4 \cdot y^3 = 0.5 x^4 y^3 \][/tex]

Therefore, the simplified expression is:

[tex]\[ \frac{5 x^6 y^7}{10 x^2 y^4} = 0.5 x^4 y^3 \][/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.