Apply the Zero Power Rule to create an equivalent expression to 9⋅(−33)0+32(8−270) .(2 points)
9⋅(−33)0+32(8−270) = ? ⋅ +32(?–? )
To apply the zero power rule, we know that any number (except for 0) raised to the power of 0 is equal to 1.
So, 9⋅(-33)^0 + 32(8 - 270) = 9⋅1 + 32(8 - 270)
Next, we can simplify the expression inside the parentheses:
8 - 270 = -262
Therefore, the equivalent expression is:
9⋅1 + 32(-262)
To apply the Zero Power Rule, we need to remember that any non-zero number raised to the power of 0 is equal to 1. Therefore, we can replace (-33)^0 with 1.
Using this rule, the expression becomes:
9⋅(−33)0 + 32(8−270)
= 9⋅1 + 32(8−270)
Now, let's simplify the expression within the parentheses:
= 9⋅1 + 32(-262)
Continuing to simplify:
= 9 + (-8384)
Finally, we can add the two terms together:
= -8375
Therefore, the equivalent expression is -8375.
To apply the Zero Power Rule, we need to understand that any number raised to the power of zero is equal to 1.
Now let's simplify the given expression step by step:
9⋅(−33)0+32(8−270)
First, let's apply the Zero Power Rule to (-33)^0:
(-33)^0 = 1
So, the expression becomes:
9⋅1 + 32(8−270)
Next, let's calculate the value inside the parentheses:
8 - 270 = -262
So, the expression becomes:
9⋅1 + 32(-262)
Now, let's calculate the multiplication:
9⋅1 = 9
So, the expression becomes:
9 + 32(-262)
Finally, let's calculate the multiplication:
32(-262) = -8384
Therefore, the simplified expression is:
9 - 8384
We can rewrite this as:
-8375