Question

Which expression is equivalent to the following expression?

(3x²y²) ³

3x^5y^5

9x^5y^5

27x^6y^6

9x^6y^6

Answer 1

When you raise a power to another power, you multiply the exponents. Therefore, to simplify (3x²y²)³, you need to multiply the exponent 3 by each of the exponents in the parentheses:

(3x²y²)³ = 3³ x (x²)³ x (y²)³

= 27x^6y^6

So, the expression that is equivalent to (3x²y²)³ is 27x^6y^6, which is option C.