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
11 answers
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
(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.
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
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.
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
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.
(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
8
15
27
21
To make the two expressions equivalent, we need to find the value of the exponent that would make the base (3) raised to that exponent equal to pi * 3^24.
Let's equate the exponents of the two expressions:
3 = 24 + 1
Simplifying the equation, we have:
3 = 25
Since 3 does not equal 25, there is no exponent that would make the two expressions equivalent. Therefore, none of the given options (8, 15, 27, or 21) is the correct answer.
Let's equate the exponents of the two expressions:
3 = 24 + 1
Simplifying the equation, we have:
3 = 25
Since 3 does not equal 25, there is no exponent that would make the two expressions equivalent. Therefore, none of the given options (8, 15, 27, or 21) is the correct answer.
1 answer