Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)^0+3/2(8−27^0) does 9 ⋅ (−33) ^ 0 + 3/2 (8−27^0) = 9*1 + 3/2 (8-1)?
To apply the Zero Power Rule, any base raised to the power of zero equals 1. Thus, the expression can be simplified as follows:
9⋅(−33)^0 + 3/2 (8−27^0)
= 9⋅1 + 3/2 (8-1)
= 9 + 3/2 (7)
= 9 + 3/2 * 7
= 9 + 21/2
= 9 + 10.5
= 19.5
Therefore, the simplified expression is 19.5.
So, no, 9 ⋅ (−33) ^ 0 + 3/2 (8-27^0) ≠ 9*1 + 3/2 (8-1)
To apply the Zero Power Rule, we know that any number (except zero) raised to the power of zero is equal to 1. So in this case, (-33)^0 can be replaced by 1.
Replacing (-33)^0 in the expression 9⋅(−33)^0+3/2(8−27^0) with 1, we get:
9⋅1 + 3/2(8−1)
which simplifies to:
9 + 3/2(7)
= 9 + (3/2) * 7
= 9 + (21/2)
The simplified equivalent expression is 9 + 21/2.
To apply the Zero Power Rule, we need to understand the rule first. The Zero Power Rule states that any non-zero number raised to the power of zero is equal to 1. In other words, any number (except zero) to the power of zero equals 1.
In the expression 9⋅(−33)^0+3/2(8−27^0), the exponent of 0 applied to (-33)^0 means that it will become 1. Thus, the expression simplifies to:
9⋅1 + 3/2(8−1)
Now, we can perform the necessary calculations:
9⋅1 = 9
3/2(8−1) = 3/2 * 7 = 21/2 = 10.5
So the simplified expression becomes:
9 + 10.5
which equals 19.5.
Therefore, the expression 9⋅(−33)^0+3/2(8−27^0) is equal to 19.5.