Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Sure, let's start by simplifying the expression given in part (a).
### Step-by-Step Solution:
We are given the expression:
[tex]$ \frac{5 x^5 y^6}{x^2 y^4} $[/tex]
Step 1: Simplifying the numerator and the denominator separately
Step 2: Breaking down the exponents
First, let's consider the [tex]\(x\)[/tex] terms in both the numerator and denominator:
[tex]$ \frac{x^5}{x^2} $[/tex]
By the laws of exponents, when we divide like bases, we subtract the exponents:
[tex]$ x^{5-2} = x^3 $[/tex]
Next, consider the [tex]\(y\)[/tex] terms in both the numerator and denominator:
[tex]$ \frac{y^6}{y^4} $[/tex]
Similarly, using the laws of exponents, we subtract the exponents:
[tex]$ y^{6-4} = y^2 $[/tex]
Step 3: Combining all simplified terms
Now, let's place the simplified terms back into the expression:
[tex]$ \frac{5 x^5 y^6}{x^2 y^4} = 5 x^3 y^2 $[/tex]
So, the simplified form of the given expression is:
[tex]$ 5 x^3 y^2 $[/tex]
And that's the final simplified form of the expression!
### Step-by-Step Solution:
We are given the expression:
[tex]$ \frac{5 x^5 y^6}{x^2 y^4} $[/tex]
Step 1: Simplifying the numerator and the denominator separately
Step 2: Breaking down the exponents
First, let's consider the [tex]\(x\)[/tex] terms in both the numerator and denominator:
[tex]$ \frac{x^5}{x^2} $[/tex]
By the laws of exponents, when we divide like bases, we subtract the exponents:
[tex]$ x^{5-2} = x^3 $[/tex]
Next, consider the [tex]\(y\)[/tex] terms in both the numerator and denominator:
[tex]$ \frac{y^6}{y^4} $[/tex]
Similarly, using the laws of exponents, we subtract the exponents:
[tex]$ y^{6-4} = y^2 $[/tex]
Step 3: Combining all simplified terms
Now, let's place the simplified terms back into the expression:
[tex]$ \frac{5 x^5 y^6}{x^2 y^4} = 5 x^3 y^2 $[/tex]
So, the simplified form of the given expression is:
[tex]$ 5 x^3 y^2 $[/tex]
And that's the final simplified form of the expression!
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.