Decide whether the expression has been simplified correctly.
-$\left( x ^ { 6 } \right) ^ { 2 } = x ^ { 8 }$
A) Not simplified correctly
B) Simplified correctly

Question

Quizplus · Accepted Answer

When simplifying an expression of the form $(x^a)^b$, the correct approach is to multiply the exponents, resulting in $x^{a \cdot b}$. Therefore, $(x^6)^2$ simplifies to $x^{6 \cdot 2} = x^{12}$, not $x^8$.

Decide Whether the Expression Has Been Simplified Correctly (x6)2=x8\left( x ^ { 6 } \right) ^ { 2 } = x ^ { 8 }(x6)2=x8

Decide Whether the Expression Has Been Simplified Correctly $\left( x ^ { 6 } \right) ^ { 2 } = x ^ { 8 }$