Using the Quotient Rule of Exponents, what is an equivalent form of 2^8÷2^4 ?(1 point)

Answer 1

By applying the Quotient Rule of Exponents, we can subtract the exponents to get an equivalent form:

2^8 ÷ 2^4 = 2^(8-4) = 2^4.

Therefore, an equivalent form of 2^8 ÷ 2^4 is 2^4.

Answer 2

using the Quotient Rule of Exponents, what is the exponent in an equivalent form of 7^9/7^6 if the base is 7?(1 point)

Answer 3

Using the Quotient Rule of Exponents, when dividing two numbers with the same base, we subtract the exponents:

7^9/7^6 = 7^(9-6) = 7^3.

Therefore, the exponent in an equivalent form of 7^9/7^6, when the base is 7, is 3.

Answer 4

Using the Power Rule of Exponents, what is an equivalent form of the expression (3^5)^2 ?(1 point)

Answer 5

Using the Power Rule of Exponents, when raising a power to another power, we multiply the exponents:

(3^5)^2 = 3^(5*2) = 3^10.

Therefore, an equivalent form of the expression (3^5)^2 is 3^10.

Answer 6

Using the Power Rule of Exponents, what is an equivalent form of the expression (6^3)^3 ?(1 point)

Answer 7

Using the Power Rule of Exponents, when raising a power to another power, we multiply the exponents:

(6^3)^3 = 6^(3*3) = 6^9.

Therefore, an equivalent form of the expression (6^3)^3 is 6^9.

Answer 8

Using the Power Rule of Exponents, what is an equivalent form of the expression (5^6)^2 ?(1 point)

Answer 9

Using the Power Rule of Exponents, when raising a power to another power, we multiply the exponents:

(5^6)^2 = 5^(6*2) = 5^12.

Therefore, an equivalent form of the expression (5^6)^2 is 5^12.

Answer 10

as a whole mumner

Answer 11

As a whole number, 5^12 cannot be simplified further. It remains as 5^12.

Answer 12

Using the Power Rule of Exponents, what is the whole number exponent in an equivalent form of (5^6)^2 ? (1 point)

Answer 13

Using the Power Rule of Exponents, when raising a power to another power, we multiply the exponents:

(5^6)^2 = 5^(6*2) = 5^12.

Therefore, the whole number exponent in an equivalent form of (5^6)^2 is 12.

Answer 14

Using the Power Rule of Exponents, what is the whole number exponent in an equivalent form of (2^7)^4 ? (1 point)

Answer 15

Using the Power Rule of Exponents, when raising a power to another power, we multiply the exponents:

(2^7)^4 = 2^(7*4) = 2^28.

Therefore, the whole number exponent in an equivalent form of (2^7)^4 is 28.

Answer 16

Evaluate the expression (1^4 x (5+3)/(6−2))^2 . Show all your work.

Answer 17

To evaluate the expression (1^4 x (5+3)/(6−2))^2, we need to follow the order of operations and simplify step by step.

First, let's simplify the expression inside the parentheses:
5 + 3 = 8
6 - 2 = 4

So, the expression becomes: (1^4 x 8/4)^2

Next, let's simplify the exponent:
1^4 = 1

Now, we can substitute the simplified values back into the expression:
(1 x 8/4)^2

Next, let's simplify the multiplication and division:
8/4 = 2

So, the expression now is: (1 x 2)^2

Next, let's simplify the exponent:
(1 x 2)^2 = 2^2 = 4

Therefore, the evaluation of the expression (1^4 x (5+3)/(6−2))^2 is 4.