Which of the following correctly used the Power Rule of Exponents in the expression (10 9) 7?(1 point)
90 7
10 63
10 16
10 2
The correct expression using the Power Rule of Exponents is (10^9)^7, which simplifies to 10^63. Therefore, the correct answer is 10 63.
If the expression 410 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression?
(4 2) 8
4⋅4⋅4⋅4⋅4⋅4⋅4
(4 12) 2
(4 5) 2
The correct equivalent expanded expression of 410 using the Power Rule of Exponents would be 4⋅4⋅4⋅4⋅4⋅4⋅4.
are u sure
I apologize for the confusion. You are correct, the equivalent expanded expression for 410 using the Power Rule of Exponents is (4^2)^8.
The expanded form would be 4^2 * 4^2 * 4^2 * 4^2 * 4^2 * 4^2 * 4^2 * 4^2.
Use the Power Rule of Exponents to create an expression equivalent to (15 6) 2.
15 4
15 3
15 12
15 8
To create an expression equivalent to (15^6)^2 using the Power Rule of Exponents, we will multiply the exponents.
Thus, (15^6)^2 simplifies to 15^(6*2) = 15^12.
Therefore, the equivalent expression is 15 12.
What exponent would make the two expressions equivalent: (3 3)pi=3 24?(1 point)
8
15
27
21
To find the exponent that would make the two expressions equivalent, we can set the exponents equal to each other and solve for the unknown exponent.
(3^3) * pi = 3^24
To make these expressions equivalent, the exponent on 3 in one expression (3^3 * pi) must be equal to the exponent on 3 in the other expression (3^24).
Setting the exponents equal to each other:
3^3 = 3^24
Since the base (3) is the same on both sides, we can equate the exponents:
3 = 24
This is not true, so there is no exponent that would make the two expressions equivalent.
What exponent would make the two expressions equivalent: (3 3)pi=3 24?
8
15
27
21