Question

Which expression is equivalent to (m²n⁴)⁴?
O m⁸n¹⁶
O m⁸n¹⁶
O m⁶n⁸
O 1

Answer 1

The expression (m²n⁴)⁴ simplifies to m⁸n¹⁶.

Step-by-step explanation:

To simplify the expression (m²n⁴)⁴, we need to raise each term inside the parentheses to the power of 4.

For m², we have (m²)⁴ = m² * m² * m² * m² = m⁸, as we multiply the exponents when raising a power to a power.

Similarly, for n⁴, we have (n⁴)⁴ = n⁴ * n⁴ * n⁴ * n⁴ = n¹⁶.

Therefore, the expression (m²n⁴)⁴ simplifies to m⁸n¹⁶.