Question

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

Answer 1

According to the Zero Power Rule, any nonzero number raised to the power of zero is equal to 1. Therefore, any occurrence of a nonzero number raised to the power of zero can be replaced with 1.

Applying this rule to the expression 9⋅(−33)^0+3/2 (8−27^0), we get:

9⋅1 + 3/2 (8−1)

Now, we simplify further by performing the operations:

9 + 3/2 (7)

Finally, we multiply 3/2 with 7:

9 + 3/2 * 7 = 9 + 21/2

Adding the fractions:

9 + 21/2 = 18/2 + 21/2 = 39/2

Therefore, the equivalent expression is 39/2.