Question

HELP!!!!!
simplify. show the steps. (3x^2y^4)^3

Answer 1

27x^6y^12

Explanation:

1.Evaluate

(3x^2y^4) ^ 3

2.To raise a product to a power,raise each factor to that power

3^3 x (x^2)^3(y^4)^3

3.Evaluate the power

27 (x^2)^3 (y^4)^3

4.Evaluate the power again

27x ^6 x (y^4)^3

5. Solution

27x^6 y^12

hope this helps!!

Answer 2

Answer: 27x⁶y¹²

Explanation:

(3x^2y^4)^3

Use the rules of exponents to simplify the expression.

(3x^2y^4)^3

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

3³(x²)³(y⁴)³

Raise 3 to power 3.

27(x²)³(y⁴)³

To raise a power to another power, multiply the exponents.

27x²*³y⁴*³

Multiply 2 times 3.

27x⁶y⁴*³

Multiply 4 times 3.

27x⁶y¹²