Apply the Zero Power Rule to create an equivalent expression to 43(−2+10).(1 point)
Applying the Zero Power Rule, any number raised to the power of 0 is equal to 1.
In this expression, we can apply the Zero Power Rule to the number 43.
43^0 = 1
Therefore, an equivalent expression would be:
1(-2+10)
Apply the Zero Power Rule of Integer Exponents to solve −40⋅15.(1 point)
Applying the Zero Power Rule of Integer Exponents, any non-zero number raised to the power of 0 is equal to 1.
In this expression, there are no exponents involved, so the Zero Power Rule does not apply. We simply need to multiply -40 and 15.
-40 * 15 = -600
Therefore, the solution is -600.
Apply the Zero Power Rule of Integer Exponents to solve −4^0⋅15.(1 point)
Applying the Zero Power Rule of Integer Exponents, any non-zero number raised to the power of 0 is equal to 1.
In this expression, we have -4 raised to the power of 0. Therefore, according to the Zero Power Rule, -4^0 is equal to 1.
-4^0 * 15 = 1 * 15 = 15
Therefore, the solution is 15.
wrong
I apologize for the mistake in my previous response.
According to the correct application of the Zero Power Rule of Integer Exponents, any non-zero number raised to the power of 0 is equal to 1.
In this expression, we have -4 raised to the power of 0. Therefore, according to the Zero Power Rule, (-4)^0 is also equal to 1.
(-4)^0 * 15 = 1 * 15 = 15
Therefore, the solution is 15.
Apply the Zero Power Rule to create an equivalent expression to 4/3(−2+1^0).(1 point)
To apply the Zero Power Rule, any number raised to the power of 0 is equal to 1.
In this expression, we have 1^0, which is equal to 1 according to the Zero Power Rule.
Therefore, an equivalent expression would be:
4/3(-2+1) = 4/3(-1)
Solve the expression 2(1.60+7)−4.90.(1 point)
To solve the expression 2(1.60+7)−4.90, we follow the order of operations, which is often represented by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, we perform the addition inside the parentheses: 1.60 + 7 = 8.60.
Now, we have 2(8.60)−4.90.
Next, we perform the multiplication: 2 * 8.60 = 17.20.
Now, we have 17.20−4.90.
Finally, we perform the subtraction: 17.20 - 4.90 = 12.30.
Therefore, the solution to the expression 2(1.60+7)−4.90 is 12.30.
Solve the expression 2(1.6^0+7)−4.9^0.(1 point)
To solve the expression 2(1.6^0+7)−4.9^0, we need to evaluate the expressions within the parentheses first.
According to the Zero Power Rule, any non-zero number raised to the power of 0 is equal to 1.
Therefore, 1.6^0 = 1 and 4.9^0 = 1.
Substituting these values back into the expression, we have:
2(1+7)−1
Next, we perform the addition inside the parentheses:
2(8)−1
Now, we perform the multiplication:
16−1
Finally, we perform the subtraction:
15
Therefore, the solution to the expression 2(1.6^0+7)−4.9^0 is 15.