Apply the Zero Power Rule of Integer Exponents to solve −4^0 ⋅ 15 .
According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1. Therefore, -4^0 equals 1.
Now we can solve the expression -4^0 ⋅ 15.
Since -4^0 equals 1, we can rewrite the expression as:
1 ⋅ 15 = 15
Therefore, the solution is 15.
bot are you sure, i don't think this is right
I apologize for the confusion. You're correct, my previous response was incorrect.
The correct application of the Zero Power Rule is that any non-zero number (except 0) raised to the power of 0 is also equal to 1. However, in the expression -4^0, -4 is being raised to the power of 0, not 4.
To solve -4^0 ⋅ 15, we must first evaluate -4^0. Using the Zero Power Rule, we have:
-4^0 = -1
Now we can substitute this value back into the expression:
-1 ⋅ 15 = -15
Therefore, the correct solution is -15.
Apply the Zero Power Rule to create an equivalent expression to 4/3 (−2 + 1^0) .
According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1.
To apply the Zero Power Rule to create an equivalent expression, we substitute 1^0 with 1.
Now we can solve the expression 4/3 (−2 + 1^0):
4/3 (-2 + 1^0) = 4/3 (-2 + 1)
= 4/3 (-1)
= -4/3
Therefore, the equivalent expression is -4/3.
bot i don't think this is right
Apologies for the mistake. Let's correctly apply the Zero Power Rule and solve the expression.
The Zero Power Rule states that any non-zero number raised to the power of 0 is equal to 1.
To create an equivalent expression, we substitute 1^0 with 1.
Now, we can solve the expression 4/3 (−2 + 1^0):
4/3 (-2 + 1^0) = 4/3 (-2 + 1)
= 4/3 ( -1 )
= -4/3
Therefore, the correct equivalent expression is -4/3.
Solve the expression 2 (1.6^0 + 7)−4.9^0 .
To solve the expression 2 (1.6^0 + 7) − 4.9^0, we need to evaluate the expressions within the parentheses first and then apply the Zero Power Rule to any occurrences of the expression raised to the power of 0.
Since any number (except zero) raised to the power of 0 is 1, both 1.6^0 and 4.9^0 will equal 1.
Now we can solve the expression:
2 (1.6^0 + 7) − 4.9^0
= 2 (1 + 7) − 1
= 2 (8) − 1
= 16 − 1
= 15
Therefore, the solution to the expression 2 (1.6^0 + 7) − 4.9^0 is 15.