Can someone help me correct this
Directions:Divide
6p^5q^3 times 25 p^5q^3 / 5p^5q^5
My answer is : 30q^2
6pppppqqq*25pppppqqq/5pppppqqqqq=
30pppppq = 30p5q
huh?
Answered above.
To correct the expression, we need to follow the rules of dividing exponents.
The given expression is:
(6p^5q^3 * 25p^5q^3) / (5p^5q^5)
First, let's simplify the numerator:
6p^5q^3 * 25p^5q^3 = 150p^10q^6
Now, let's simplify the denominator:
5p^5q^5
In division, we subtract the exponents.
So, p^5 / p^5 = p^(5-5) = p^0, and any non-zero term raised to the power of 0 is equal to 1.
Similarly, q^5 / q^5 = q^(5-5) = q^0, which is also equal to 1.
So, the denominator is just 5.
Now, we can simplify the expression further:
(150p^10q^6) / 5
Dividing 150 by 5 gives us 30.
So, the final answer is:
30p^10q^6 / 5
If you want to simplify it further, you can divide each term by 5:
(30/5) * p^10 * q^6
Which simplifies to:
6p^10q^6