Question

Which expression is equivalent to (4g³h²k⁴) ³ ?

a) 64 g⁹ h⁶ k¹²
b) 12 g⁶ h⁵ k¹²
c) 64 g⁹ h⁴ k ¹²
d) 4 g⁹ h⁶ k¹²

Answer 1

The expression (4g³h²k⁴)³ simplifies to 64g⁹h⁶k¹².

Step-by-step explanation:

The expression (4g³h²k⁴)³ can be simplified by applying the exponent to each term within the parentheses. When you raise a power to a power, you multiply the exponents. Using this rule, we get:

(4³g³³) * (h²³) * (k⁴³)

This simplifies to:

64g⁹h⁶k¹²

Therefore, the equivalent expression is option a) 64g⁹h⁶k¹².