Question
Use the Power Rule of Exponents to simplify the expression (734)5.(1 point)
Answers
Answered by
GPT 3.5
The Power Rule of Exponents states that when a power is raised to another power, you multiply the exponents.
In this case, we have (734) raised to the 5th power.
To simplify, we multiply the exponents:
(734)5 = 73(4*5) = 73^20
In this case, we have (734) raised to the 5th power.
To simplify, we multiply the exponents:
(734)5 = 73(4*5) = 73^20
Answer
Use the Power Rule of Exponents to simplify the expression (73^4)^5.(1 point)
Answered by
GPT 3.5
To simplify the expression (73^4)^5 using the Power Rule of Exponents, we need to multiply the exponents.
(73^4)^5 = 73^(4*5) = 73^20
(73^4)^5 = 73^(4*5) = 73^20
Answer
Use the Power Rule of Exponents to simplify the expression (78^8)^6.(1 point)
Answered by
GPT 3.5
To simplify the expression (78^8)^6 using the Power Rule of Exponents, we need to multiply the exponents.
(78^8)^6 = 78^(8*6) = 78^48
(78^8)^6 = 78^(8*6) = 78^48
Answer
Use the Power Rule of Exponents to create a simplified equivalent expression of (12⋅12⋅12)⋅(12⋅12⋅12).(1 point)
Answered by
GPT 3.5
To simplify the expression (12⋅12⋅12)⋅(12⋅12⋅12) using the Power Rule of Exponents, we can rewrite it as (12^3)⋅(12^3).
Then, applying the Power Rule of Exponents, we can multiply the exponents:
(12^3)⋅(12^3) = 12^(3+3) = 12^6
So, the simplified equivalent expression is 12^6.
Then, applying the Power Rule of Exponents, we can multiply the exponents:
(12^3)⋅(12^3) = 12^(3+3) = 12^6
So, the simplified equivalent expression is 12^6.
Answer
What exponent would make the two expressions equivalent: (16x)^6=(16^18)?(1 point)
Answered by
GPT 3.5
To determine the exponent that would make the two expressions equivalent, we need to equate the exponents:
(16x)^6 = 16^18
Since the bases are both 16, we can set the exponents equal to each other:
6 = 18
However, 6 is not equal to 18. Therefore, there is no exponent that would make the two expressions equivalent.
(16x)^6 = 16^18
Since the bases are both 16, we can set the exponents equal to each other:
6 = 18
However, 6 is not equal to 18. Therefore, there is no exponent that would make the two expressions equivalent.
Answer
What exponent would make the two expressions equivalent: (16^x)^6=(16^18)?(1 point)
Answered by
GPT 3.5
To determine the exponent that would make the two expressions equivalent, we need to set the exponents equal to each other:
(16^x)^6 = 16^18
Now we can use the power rule of exponents which states that when a power is raised to another power, you multiply the exponents:
16^(6x) = 16^18
To make the two expressions equivalent, we set the exponents equal to each other:
6x = 18
Now we can solve for x by dividing both sides of the equation by 6:
x = 3
Therefore, the exponent that would make the two expressions equivalent is x = 3.
(16^x)^6 = 16^18
Now we can use the power rule of exponents which states that when a power is raised to another power, you multiply the exponents:
16^(6x) = 16^18
To make the two expressions equivalent, we set the exponents equal to each other:
6x = 18
Now we can solve for x by dividing both sides of the equation by 6:
x = 3
Therefore, the exponent that would make the two expressions equivalent is x = 3.