simplify:(3x0 ynegative 4)(2x2 y)3 this is hard to break down but i got 6x6/y but my sister said it could either be 24x6/y or 216x6/y6 if not any break it down and tell me which one is right thank u please keep it clear and simple so i can understand
I get a coefficent of 24, with the x,y as you did. I think you forgot to cube the 2 in the second parenthesis.
how old am i?
so the answer is 6 x6/y or 24 x6/y
To simplify the expression (3x^0 * y^-4)(2x^2 * y)^3, let's break it down step by step.
Step 1: Simplify the base expressions inside each parentheses.
(3x^0 * y^-4) becomes (3 * y^-4) because any number raised to the power of 0 is equal to 1, and x^0 equals 1.
(2x^2 * y) remains the same.
Step 2: Simplify the exponents.
In the expression (3 * y^-4), we multiply the coefficients and add the exponents. So we have 3 * y^-4 = 3/y^4.
In the expression (2x^2 * y)^3, we raise the base and the exponent inside the parentheses to the power of 3.
(2x^2 * y)^3 = 2^3 * (x^2)^3 * y^3 = 8 * x^6 * y^3
Step 3: Multiply the simplified expressions together.
Now we can multiply the two simplified expressions:
(3/y^4) * (8 * x^6 * y^3)
Step 4: Simplify further if possible.
When multiplying fractions, we multiply the numerators together and the denominators together.
Numerator: 3 * 8 * x^6 = 24x^6
Denominator: y^4 * y^3 = y^(4+3) = y^7
Putting it all together, the simplified expression is 24x^6/y^7.
Therefore, the correct simplified form is 24x^6/y^7.