Fully simplify using only positive exponents.
start fraction, 8, x, squared, y, to the power 4 , divided by, 2, x, to the power 8 , y, to the power 4 , end fraction
2x
8
y
4
8x
2
y
4
The fully simplified expression is:
\( \frac{4x^2y^4}{x^8y^4} \)
can you put that in numbers instead of words
To fully simplify the given expression using positive exponents, we can apply the rules of exponents.
We start with the expression:
8x^2y^4 / 2x^8y^4
First, let's simplify the numeric values.
8 / 2 = 4
Next, let's simplify the variables with the same base.
For the variable x:
x^2 / x^8 = x^(2-8) = x^(-6)
For the variable y:
y^4 / y^4 = y^(4-4) = y^0
Now, any value with an exponent of 0 is equal to 1. So, y^0 = 1.
Putting it all together, the simplified expression is:
4x^(-6) * 1
Since 4 multiplied by 1 is still 4, we can write the final answer as:
4x^(-6)
The fully simplified expression is:
\( \frac{4x^{2}y^{4}}{x^{8}y^{4}} \) can be written as:
\( \frac{4xy^{4}}{x^{6}} \)