Apply the Zero Power Rule to create an equivalent expression to 43(−2+10).(1 point)
An equivalent expression to 43(−2+10) is 43(−2+ ).
An equivalent expression to 43(−2+10) is 43(−2+ 0 ).
To apply the Zero Power Rule to create an equivalent expression, we need to simplify the expression 43(−2+10) by replacing the 10 with 0.
43(−2+10) = 43(−2+0)
Now, we simplify the expression inside the parentheses:
43(−2+0) = 43(-2)
So, an equivalent expression to 43(−2+10) is 43(-2).
To apply the Zero Power Rule in this case, we need to substitute the missing number in the expression 43(−2+ ).
The Zero Power Rule states that any number raised to the power of zero is equal to 1. Therefore, to find the missing number, we need to determine the power to which it is raised that will result in 1.
In this case, 43 is multiplied by the expression (-2+ ). To simplify this expression, we can combine the terms inside the parentheses.
(-2+10) = 8
Therefore, to apply the Zero Power Rule, we need to find the power to which 8 must be raised in order to equal 1.
Since any number (except 0) raised to the power of 0 is equal to 1, we can conclude that the missing number is 0.
Consequently, an equivalent expression to 43(−2+10) is 43(−2+0).