Question

Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33) to the power of 0 + 3/2(8−27 to the power of 0)

9⋅(−33) to the power of 0 + 3/2(8−27 to the power of 0)
= ? ⋅ ? + 3/ 2 ( ? – ?)

Answer 1

Use the zero-power rule: any nonzero number to the 0 power is 1.

(-33)^0 = 1 and 27^0 = 1, so
9⋅(−33)^0 + (3/2)(8−27^0)
= 9⋅1 + (3/2)(8−1).

Thus the blanks are: 9 ⋅ 1 + 3/2 (8 − 1).

Now simplify:
9 + (3/2)·7 = 9 + 21/2 = 39/2.