To simplify the expression (4𝑥²𝑦³𝑦²)³, follow these steps:

1. Combine the like terms in the parentheses first. The rule of exponents states that when you multiply terms with the same base, you add the exponents. So, 𝑦³𝑦² becomes 𝑦⁵.

So, the expression becomes (4𝑥²𝑦⁵)³.

2. Next, apply the power of a power rule, which states that when you have a power of a power, you multiply the exponents. Apply this rule to each term inside the parentheses.

So, the expression becomes 4³𝑥⁶𝑦¹⁵.

3. Simplify 4³, which equals 64.

So, the final simplified expression is 64𝑥⁶𝑦¹⁵.

Question

To simplify the expression (4𝑥²𝑦³𝑦²)³, follow these steps:

1. Combine the like terms in the parentheses first. The rule of exponents states that when you multiply terms with the same base, you add the exponents. So, 𝑦³𝑦² becomes 𝑦⁵.

So, the expression becomes (4𝑥²𝑦⁵)³.

2. Next, apply the power of a power rule, which states that when you have a power of a power, you multiply the exponents. Apply this rule to each term inside the parentheses.

So, the expression becomes 4³𝑥⁶𝑦¹⁵.

3. Simplify 4³, which equals 64.

So, the final simplified expression is 64𝑥⁶𝑦¹⁵.

Knowee AI · Accepted Answer

To simplify the expression (4𝑥²𝑦³𝑦²)³, follow these steps:

1. Combine the like terms in the parentheses first. The rule of exponents states that when you multiply terms with the same base, you add the exponents. So, 𝑦³𝑦² becomes 𝑦⁵.

So, the expression becomes (4𝑥²𝑦⁵)³.

2. Next, apply the power of a power rule, which states that when you have a power of a power, you multiply the exponents. Apply this rule to each term inside the parentheses.

So, the expression becomes 4³𝑥⁶𝑦¹⁵.

3. Simplify 4³, which equals 64.

So, the final simplified expression is 64𝑥⁶𝑦¹⁵.

Simplify the following expression:(4𝑥2𝑦3𝑦2)3Group of answer choices4𝑥6𝑦9𝑦664𝑥6𝑦9𝑦64𝑥6𝑦364𝑥6𝑦3

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