AM I RIGHT??
simplify
(2x^2y^2z)^2(x^4y)^5
I CAME WITH 4x^13y^9z^2 FOR THE ANSWER..
convert the number to scientifc notation
13,550,000,000
I CAME WITH 1.355x10^9 FOR THE ANSWER
On the second, no. try 10^10. Think about that.
Now on the first, no.
expand the first part:
2x^2y^2z^2 squared
4x^4 y^4 z^4
Now the second part.
x^4 y to the fifth..
x^20 y^5
Now combine them by adding exponents.
okay. is it 4x^36y^20z^2
No. You are missing something.
the two to combine are:
(4x^4 y^4 z^4)(x^20 y^5)
Take the y exponents. What is 4+5?
When multiplying add the exponents. When taking to a power, multiply.
x3 * xk=x3+k
(xm)n =xmn
To simplify the expression (2x^2y^2z)^2(x^4y)^5, you need to follow the rules of exponents.
First, apply the exponent of 2 to each term inside the first parenthesis:
(2^2)(x^2)^2(y^2)^2(z^2)^2
This simplifies to:
4x^4y^4z^4
Next, apply the exponent of 5 to each term inside the second parenthesis:
(x^4)^5(y^1)^5
This simplifies to:
x^20y^5
Now, combine the simplified terms:
4x^4y^4z^4 * x^20y^5
To simplify further, add the exponents when multiplying terms with the same base. In this case, we have x terms and y terms:
4 * x^4 * x^20 * y^4 * y^5 * z^4
Simplifying the x terms gives:
4 * x^24 * y^4 * y^5 * z^4
Simplifying the y terms gives:
4 * x^24 * y^9 * z^4
Therefore, the simplified expression is 4x^24y^9z^4.
Now, let's convert the number 13,550,000,000 to scientific notation.
To write a number in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
In this case, move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. Count the number of decimal places you moved the decimal point.
Starting with 13,550,000,000:
Move the decimal point 9 places to the left to get 1.355.
Counting the decimal places moved, we have moved 9 places.
Therefore, the number 13,550,000,000 in scientific notation is 1.355 x 10^9.