Multiply and simplify.
9y^6/10t^4*100t^8/81y.
I crossed multiplied and got 900y^6t^8/810t^4y.
I am not sure what to do next. Could someone help?
Thanks.
To multiply and simplify the expression (9y^6/10t^4) * (100t^8/81y), you can follow these steps:
Step 1: Multiply the numerators (9y^6 * 100t^8) and the denominators (10t^4 * 81y) separately.
Step 2: Simplify the resulting expression.
Let's go through these steps in detail:
Step 1: Multiply the numerators and the denominators:
Numerator: 9y^6 * 100t^8 = 900y^6t^8
Denominator: 10t^4 * 81y = 810ty^4t^4
Step 2: Simplify the expression:
Combine the terms that have the same base:
Numerator: 900y^6t^8
Denominator: 810ty^4t^4
To simplify, you can simplify the coefficients and subtract the exponents of y and t:
Numerator: 900 * y^(6-4) * t^(8-4) = 900y^2t^4
Denominator: 810 * t * y^4 * t^4 = 810ty^4t^4
Now, simplify further by canceling out common factors:
We can cancel out 90 from both the numerator and the denominator:
Numerator: 900y^2t^4 / 90 = 10y^2t^4
Denominator: 810ty^4t^4 / 90 = 9ty^4t^4
The final simplified expression is:
(10y^2t^4) / (9ty^4t^4)
Note that we cannot simplify it further since there are no common factors left to cancel out.
So, the simplified expression is 10y^2t^4 / 9ty^4t^4.