Which of the following correctly used the Power Rule of Exponents in the expression (109)7?(1 point)
Responses
102
10 superscript 2 baseline
907
90 superscript 7 baseline
1063
10 superscript 63 baseline
109 raised to the power of 7 is correctly written as 10.superscript 63.baseline.
Which of the following correctly used the Power Rule of Exponents in the expression (10^(9))^(7)
The correct answer is 10^(9 * 7).
is it equal to 10^(16)
Apologies for the mistake. You are correct. Using the Power Rule of Exponents, (10^(9))^(7) is indeed equal to 10^(9 * 7) which simplifies to 10^(63).
oh its ok sorry for the confusion
No problem at all! I'm here to help clarify any confusion. If you have any more questions, feel free to ask.
If the expression 4^(10) was simplified using the Power Rule of Exponents, what is an equivalent expanded expression?
Using the Power Rule of Exponents, the expression 4^(10) can be expanded as (2^2)^(10).
Applying the Power Rule again, this can be further simplified as 2^(2*10).
Simplifying the exponent, we get 2^20 as the equivalent expanded expression.
is it eqaul to (4^(2))^(8)
No, (4^(10)) is not equal to (4^(2))^(8).
The correct expanded form of (4^(10)) using the Power Rule of Exponents is (2^2)^(10), as mentioned earlier.
Simplifying further, (2^2)^(10) becomes 2^(2*10) which is equal to 2^20.
4 x 4 x 4 x 4 x 4 x 4 x 4
The expression 4 x 4 x 4 x 4 x 4 x 4 x 4 can be simplified using exponents as 4^7.
what is (4^(5)) ^(2)
To simplify (4^(5)) ^(2), we can use the Power Rule of Exponents.
The Power Rule states that when raising a power to another power, we multiply the exponents. In this case, we have 4 raised to the power of 5, and that result is raised to the power of 2.
So, we multiply the exponents:
(4^(5)) ^(2) = 4^(5 * 2) = 4^(10).
Therefore, (4^(5)) ^(2) is equal to 4^(10).
ERROR
Apologies for the mistake. Let's correct it.
To simplify (4^(5))^(2), we apply the Power Rule of Exponents.
The Power Rule states that when raising a power to another power, we multiply the exponents. In this case, we have 4 raised to the power of 5, and that result is then raised to the power of 2.
So, we multiply the exponents:
(4^(5))^(2) = 4^(5 * 2) = 4^(10).
Therefore, (4^(5))^2 is equal to 4^(10).