Let’s carefully clarify the expressions and their expanded forms:
-
(-6)^4 means to raise -6 to the fourth power:
\[
(-6)^4 = (-6) \times (-6) \times (-6) \times (-6)
\]
Therefore, this should match with: -6 × -6 × -6 × -6.
-
-6^4 means to raise 6 to the fourth power and then negate the result:
\[
-6^4 = - (6 \times 6 \times 6 \times 6) = -1 \times 6 \times 6 \times 6 \times 6
\]
This matches with: -1 × 6 × 6 × 6 × 6.
-
(-11)^4 means to raise -11 to the fourth power:
\[
(-11)^4 = (-11) \times (-11) \times (-11) \times (-11)
\]
Therefore, this matches with: -11 × -11 × -11 × -11.
-
-11^4 means to raise 11 to the fourth power and then negate the result:
\[
-11^4 = - (11 \times 11 \times 11 \times 11) = -1 \times 11 \times 11 \times 11 \times 11
\]
This matches with: -1 × 11 × 11 × 11 × 11.
So, the correct matches are:
- (-6)^4 → -6 × -6 × -6 × -6
- -6^4 → -1 × 6 × 6 × 6 × 6
- (-11)^4 → -11 × -11 × -11 × -11
- -11^4 → -1 × 11 × 11 × 11 × 11
Thank you for your patience!