Question

Match the following numbers with their expanded form.

(-6)^4=
-6^4=
(-11)^4=
-11^4=

-1×6×6×6×6
-6×-6×-6×-6
-11×-11×-11×-11
-1×11×11×11×11

Answer 1

Are you sure

Answer 2

Let's match each number with its expanded form:

1. **(-6)^4** = -1 × 6 × 6 × 6 × 6
2. **-6^4** = -6 × -6 × -6 × -6
3. **(-11)^4** = -1 × 11 × 11 × 11 × 11
4. **-11^4** = -11 × -11 × -11 × -11

So, the correct matches are:

- **(-6)^4** → -1 × 6 × 6 × 6 × 6
- **-6^4** → -6 × -6 × -6 × -6
- **(-11)^4** → -1 × 11 × 11 × 11 × 11
- **-11^4** → -11 × -11 × -11 × -11

Answer 3

Let’s carefully clarify the expressions and their expanded forms:

1. **(-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**.

2. **-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**.

3. **(-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**.

4. **-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:

1. **(-6)^4** → **-6 × -6 × -6 × -6**
2. **-6^4** → **-1 × 6 × 6 × 6 × 6**
3. **(-11)^4** → **-11 × -11 × -11 × -11**
4. **-11^4** → **-1 × 11 × 11 × 11 × 11**

Thank you for your patience!