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

3 answers

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
Are you sure

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!