Using the Power Rule of Exponents, what is an equivalent form of the expression (6^3)^3 ?(1 point)
base=
exponent=
base= 6
exponent= 3*3 = 9
Using the Power Rule of Exponents, what is the whole number exponent in an equivalent form of (5^6)^2 ? (1 point)
The whole number exponent in an equivalent form of (5^6)^2 is 12.
Using the Power Rule of Exponents, what is the whole number exponent in an equivalent form of (2^7)^4 ?
using the Power Rule of Exponents, the whole number exponent in an equivalent form of (2^7)^4 is 7*4 = 28.
Evaluate the expression (1^4⋅(5+3)(6−2))^2 . Show all your work.(4 points)
To evaluate the expression (1^4⋅(5+3)(6−2))^2, we follow the order of operations, which is Parentheses, Exponents, Multiplication/Division (from left to right), and Addition/Subtraction.
First, let's simplify the expression inside the parentheses:
(1^4⋅(5+3)(6−2))^2
= (1^4⋅8⋅4)^2
= (1⋅8⋅4)^2
= 32^2
Next, we evaluate the exponent:
32^2 = 32 * 32
= 1024
Therefore, the value of the expression is 1024.
all the answers
1.25 and 3
26
6
9^7
1 and 17
2
2^4
3
3 and 10
6 and 9
12
28
1024
1. (6^3)^3 = 6^9
2. (5^6)^2 = 5^12
3. (2^7)^4 = 2^28
4. (1^4⋅(5+3)(6−2))^2 = (1⋅8⋅4)^2 = 32^2 = 1024
To find an equivalent form of the expression (6^3)^3 using the Power Rule of Exponents, we need to multiply the exponents.
The Power Rule states that to raise a power to another power, we need to multiply the exponents together.
In this case, we have (6^3)^3. The base is 6, and the exponent is 3. To find the equivalent form, we multiply the exponents: 3 * 3 = 9.
Therefore, an equivalent form of the expression (6^3)^3 is 6^9.