To use the Power Rule of Exponents, we need to multiply the exponents.
Therefore, (10^3)^6 = 10^(3*6) = 10^18
So, (103)6 = 10^18.
Use the Power Rule of Exponents to simplify (103)6.(1 point)
9 answers
answeR?
The simplified form of (103)6 is 10^18.
sure?
I apologize for the confusion in my previous response. I made an error in the calculation.
To simplify (103)6, we use the Power Rule of Exponents, which states that when raising a power to another exponent, we multiply the exponents.
In this case, we have (10^3)^6. To simplify, we multiply 3 by 6:
(10^3)^6 = 10^(3*6) = 10^18
So, the correct answer is 10^18.
To simplify (103)6, we use the Power Rule of Exponents, which states that when raising a power to another exponent, we multiply the exponents.
In this case, we have (10^3)^6. To simplify, we multiply 3 by 6:
(10^3)^6 = 10^(3*6) = 10^18
So, the correct answer is 10^18.
If the expression 715 was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?(1 point)
Responses
(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)
left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis
(7⋅7⋅7⋅7⋅7)10
left parenthesis 7 times 7 times 7 times 7 times 7 right parenthesis superscript 10 baseline
(718)3
left parenthesis 7 superscript 18 baseline right parenthesis cubed
(710)5
left parenthesis 7 superscript 10 baseline right parenthesis superscript 5 baseline
Responses
(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)
left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis
(7⋅7⋅7⋅7⋅7)10
left parenthesis 7 times 7 times 7 times 7 times 7 right parenthesis superscript 10 baseline
(718)3
left parenthesis 7 superscript 18 baseline right parenthesis cubed
(710)5
left parenthesis 7 superscript 10 baseline right parenthesis superscript 5 baseline
The correct expanded equivalent expression for 715 using the Power Rule of Exponents is (7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7).
Use the Power Rule of Exponents to create a simplified equivalent expression for (194)9.(1 point)
To simplify (194)9 using the Power Rule of Exponents, we need to multiply the exponents.
(194)9 = (1^9)(9^9)(4^9) = 1^9 * 9^9 * 4^9
Now, we can simplify each term separately using their respective exponent rules:
1^9 = 1
9^9 = 387,420,489
4^9 = 262,144
Therefore, the simplified equivalent expression for (194)9 is:
1 * 387,420,489 * 262,144 = 98,226,094,736,384.
(194)9 = (1^9)(9^9)(4^9) = 1^9 * 9^9 * 4^9
Now, we can simplify each term separately using their respective exponent rules:
1^9 = 1
9^9 = 387,420,489
4^9 = 262,144
Therefore, the simplified equivalent expression for (194)9 is:
1 * 387,420,489 * 262,144 = 98,226,094,736,384.
5 answers