(-40)⁰+1/2 (11-32⁰) = 1 + 1/2 (11-1)
= 1 + 1/2 (10)
= 1 + 5
= 6
Apply the zero power rule to create an equivalent expression to
(-40)⁰+1/2 (11-32⁰)
(-40)⁰+1/2 (11-32⁰) = □+1/2 (□-□)
9 answers
Can you elaborate further on how you got the answer?
Sure! Let's break down the steps:
1. According to the zero power rule, any number (except zero) raised to the power of zero is equal to 1. So, (-40)⁰ is equal to 1.
2. Next, we simplify the expression within the parentheses: 11-32⁰.
- Again, using the zero power rule, 32⁰ is equal to 1.
- So, 11-32⁰ becomes 11-1, which simplifies to 10.
3. Now, we substitute the simplified values back into the original expression:
- (-40)⁰+1/2 (11-32⁰) becomes 1 + 1/2 (10).
4. Applying the multiplication operation first, we get 1 + 1/2 * 10 = 1 + 5.
5. Finally, adding 1 to 5 gives us the final answer: 6.
Therefore, (-40)⁰+1/2 (11-32⁰) is equivalent to 6.
1. According to the zero power rule, any number (except zero) raised to the power of zero is equal to 1. So, (-40)⁰ is equal to 1.
2. Next, we simplify the expression within the parentheses: 11-32⁰.
- Again, using the zero power rule, 32⁰ is equal to 1.
- So, 11-32⁰ becomes 11-1, which simplifies to 10.
3. Now, we substitute the simplified values back into the original expression:
- (-40)⁰+1/2 (11-32⁰) becomes 1 + 1/2 (10).
4. Applying the multiplication operation first, we get 1 + 1/2 * 10 = 1 + 5.
5. Finally, adding 1 to 5 gives us the final answer: 6.
Therefore, (-40)⁰+1/2 (11-32⁰) is equivalent to 6.
Which of the following expressions can be simplified to give an answer of 1?
A. (-5.22)⁰
B. 15 - (9.1)⁰
C. 11⁰ + 24⁰
D. 2 (8⁰)
A. (-5.22)⁰
B. 15 - (9.1)⁰
C. 11⁰ + 24⁰
D. 2 (8⁰)
The expression (-5.22)⁰ can be simplified to give an answer of 1 because any number (except zero) raised to the power of zero is equal to 1. Therefore, the correct answer is:
A. (-5.22)⁰
A. (-5.22)⁰
Can you explain the answer further?
Of course! Let's break it down:
In the expression (-5.22)⁰, the base number is -5.22 and it is raised to the power of 0.
According to the zero power rule, any number (except zero) raised to the power of zero is equal to 1.
So, in this case, (-5.22)⁰ simplifies to 1.
Therefore, the expression (-5.22)⁰ can be simplified to give an answer of 1.
In the expression (-5.22)⁰, the base number is -5.22 and it is raised to the power of 0.
According to the zero power rule, any number (except zero) raised to the power of zero is equal to 1.
So, in this case, (-5.22)⁰ simplifies to 1.
Therefore, the expression (-5.22)⁰ can be simplified to give an answer of 1.
Use the power rule to exponents to simplify the expression.
(x⁶)⁵
(x⁶)⁵
To simplify the expression (x⁶)⁵ using the power rule for exponents, we multiply the exponents.
The power rule states that when you raise a power to another power, you multiply the exponents.
So in this case, we have (x⁶)⁵ which can be written as x^(6*5) since we multiply the exponents.
Multiplying 6 and 5, we get x^30.
Therefore, the simplified expression is x^30.
The power rule states that when you raise a power to another power, you multiply the exponents.
So in this case, we have (x⁶)⁵ which can be written as x^(6*5) since we multiply the exponents.
Multiplying 6 and 5, we get x^30.
Therefore, the simplified expression is x^30.
9 answers