1.)...(2x)(3x^3)?
I said it was x=5 am I right?step by step plz?
2.)....(4xy^2)^3
im not sure about this one
1. (2)(3)x^1+3
= 6x^4
2. (4)^3 x^1*3 y^2*3
= 64x^3y^6
Remember that ^ has higher precedence than * or +, so in these expressions, parentheses are required:
1. (2)(3)x^(1+3)
=6x^4
2. (4)^3 x^(1*3) y^(2*3)
=64 x^3 y^6
1.) To simplify the expression (2x)(3x^3), you need to multiply the coefficients and then combine the variables. Here are the steps:
Step 1: Multiply the coefficients: 2 * 3 = 6.
Step 2: Combine the variables: x * x^3 = x^(1+3) = x^4.
So the simplified expression becomes 6x^4.
To check if x = 5 is the correct solution, substitute x = 5 into the expression. Let's do that:
(2x)(3x^3) = (2 * 5)(3 * 5^3) = 10 * 3 * 125 = 3750.
The expression evaluates to 3750, which means x = 5 is not the correct solution.
2.) To simplify the expression (4xy^2)^3, you need to raise the whole expression to the power of 3, which means multiplying it by itself three times. Here are the steps:
Step 1: Apply the power of 3 to the coefficient and each variable term inside the parentheses: (4xy^2)^3 = 4^3 * (x^1)^3 * (y^2)^3.
Step 2: Simplify each term: 4^3 = 64, (x^1)^3 = x^3, and (y^2)^3 = y^(2 * 3) = y^6.
Step 3: Combine the simplified terms: 64 * x^3 * y^6.
So the simplified expression becomes 64x^3y^6.
If you're unsure about this answer, please provide more information or clarify your question, and I'll be happy to help further.