7x^6y^3(-4xy^2)^2
672 x^8 y^7
eh? 672?
I get 7 x^6 y^3 16 x^2 y^4 = 112 x^8 y^7
Steve is right
I saw the 6 as a multiplier.
I must stop trying to do these in my head and write them down instead.
To simplify the expression 7x^6y^3(-4xy^2)^2, we can follow these steps:
Step 1: Expand the exponent inside the parentheses.
(-4xy^2)^2 can be rewritten as (-4)^2(x)^2(y^2)^2.
Step 2: Simplify the exponents.
(-4)^2 is equal to 16, (x)^2 is equal to x^2, and (y^2)^2 is equal to y^(2*2) = y^4.
Step 3: Substitute the simplified values back into the expression.
7x^6y^3 * 16x^2y^4
Step 4: Simplify further by multiplying the coefficients and combining the variables.
Multiplying the coefficients, we get 7 * 16 = 112.
For the variables, x^6 * x^2 = x^(6+2) = x^8, and y^3 * y^4 = y^(3+4) = y^7.
Therefore, the final simplified expression is:
112x^8y^7.