To simplify the expression (x³y)³(x³y⁴), follow these steps:

1. Apply the power of a power rule in the first part of the expression. This rule states that (a^m)^n = a^(m*n). So, (x³y)³ becomes x⁹y³.

2. The second part of the expression remains the same, which is x³y⁴.

3. Now, multiply these two expressions together. When multiplying expressions with the same base, you add the exponents. So, x⁹ * x³ becomes x¹² and y³ * y⁴ becomes y⁷.

4. Therefore, the simplified form of the expression (x³y)³(x³y⁴) is x¹²y⁷.

Question

To simplify the expression (x³y)³(x³y⁴), follow these steps:

1. Apply the power of a power rule in the first part of the expression. This rule states that (a^m)^n = a^(m*n). So, (x³y)³ becomes x⁹y³.

2. The second part of the expression remains the same, which is x³y⁴.

3. Now, multiply these two expressions together. When multiplying expressions with the same base, you add the exponents. So, x⁹ * x³ becomes x¹² and y³ * y⁴ becomes y⁷.

4. Therefore, the simplified form of the expression (x³y)³(x³y⁴) is x¹²y⁷.

Knowee AI · Accepted Answer

To simplify the expression (x³y)³(x³y⁴), follow these steps:

1. Apply the power of a power rule in the first part of the expression. This rule states that (a^m)^n = a^(m*n). So, (x³y)³ becomes x⁹y³.

2. The second part of the expression remains the same, which is x³y⁴.

3. Now, multiply these two expressions together. When multiplying expressions with the same base, you add the exponents. So, x⁹ * x³ becomes x¹² and y³ * y⁴ becomes y⁷.

4. Therefore, the simplified form of the expression (x³y)³(x³y⁴) is x¹²y⁷.

Simplify. (x3 y)3(x3 y4)

Question

Solution

Similar Questions

Upgrade your grade with Knowee