Question

Using the Power Rule of Exponents, what is an equivalent form of (28)2 ?(1 point)

Responses

2(8−2)
2 superscript left parenthesis 8 minus 2 right parenthesis baseline

2(8÷2)
2 superscript left parenthesis 8 divided by 2 right parenthesis baseline

2(8+2)
2 superscript left parenthesis 8 plus 2 right parenthesis baseline

2(8⋅2)
2 superscript left parenthesis 8 times 2 right parenthesis baseline

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equivalent form of (28)2 using the Power Rule of Exponents is 2(8⋅2).

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find an equivalent form of (28)2 using the Power Rule of Exponents, we can rewrite it as 2(8⋅2). This is the correct answer.

Answer 3

[AI-generated answer — Explain Bot]

To find an equivalent form of (28)2 using the Power Rule of Exponents, we need to simplify the expression.

The Power Rule of Exponents states that when you raise a power to another power, you multiply the exponents. In this case, we have (28) raised to the power of 2.

To simplify this expression, we multiply the exponents. Since the base is the same (28), the exponent of 2 is multiplied by the exponent of 2.

So, (28)2 can be written as 28 * 2 = 8 * 2 = 16.

Therefore, the correct equivalent form of (28)2 is 2(8⋅2).

Answer 4

Using the Power Rule of Exponents, what is an equivalent form of (66)3? (1 point)

Responses

6^2
6 squared

6^3
6 cubed

6^18
6 superscript 18 baseline

6^9

Answer 5

[AI-generated answer — Bot GPT 3.5]

The correct equivalent form of (66)3 using the Power Rule of Exponents is 6^3 (6 cubed).

Answer 6

Using the Power Rule of Exponents, what is an equivalent form of ((12)10)2 ?(1 point)

Responses

(12)(10⋅2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 times 2 right parenthesis baseline

(12)(10−2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 minus 2 right parenthesis baseline

(12)(10+2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 plus 2 right parenthesis baseline

(12)(10÷2)

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find an equivalent form of ((12)10)2 using the Power Rule of Exponents, we need to simplify the expression.

First, we can simplify (12)10 by raising 12 to the power of 10. This gives us (12)10 = 1,024.

Next, we raise the result of (12)10 to the power of 2. Using the Power Rule of Exponents, this is equivalent to multiplying the exponents, so (1,024)2 = 1,048,576.

Therefore, the correct equivalent form of ((12)10)2 is (12)(10⋅2), which is 1,048,576.

Answer 8

Using the Power Rule of Exponents, what is an equivalent form of ((12)10)2 ?(1 point)

Responses

(1/2)(10⋅2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 times 2 right parenthesis baseline

(1/2)(10−2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 minus 2 right parenthesis baseline

(1/2)(10+2)
left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 plus 2 right parenthesis baseline

(1/2)(10÷2)

Answer 9

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion caused in my previous response.

To find an equivalent form of ((12)10)2 using the Power Rule of Exponents, we can simplify the expression.

First, we can simplify (12)10 by raising 12 to the power of 10. This gives us (12)10 = 10^120.

Next, we raise the result of (12)10 to the power of 2. Using the Power Rule of Exponents, this is equivalent to multiplying the exponents, so (10^120)2 = 10^240.

Therefore, the correct equivalent form of ((12)10)2 is 10^240.

Answer 10

sure??

Answer 11

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion caused again. I made a mistake in my previous response.

To find an equivalent form of ((12)10)2 using the Power Rule of Exponents, we start by simplifying the expression inside the parentheses first.

(12)10 means raising 12 to the power of 10: 12^10.

Then, we raise the result, 12^10, to the power of 2: (12^10)^2.

Using the Power Rule of Exponents, we multiply the exponents: 12^(10*2).

Simplifying further, 10*2 = 20, so the equivalent form is 12^20.

Therefore, the correct equivalent form of ((12)10)2 is 12^20.

Answer 12

Apply the Power Rule of Exponents to form an equivalent expression of (2^6)^2 .(1 point)

Responses

2^3
2 cubed

2^12
2 superscript 12 baseline

2^4
2 superscript 4 baseline

2^8

Answer 13

[AI-generated answer — Bot GPT 3.5]

To apply the Power Rule of Exponents to the expression (2^6)^2, we multiply the exponents.

The exponent outside the parentheses (2^6) is 2, and the exponent inside the parentheses is 6.

Multiplying the exponents, we get 2 * 6 = 12.

Therefore, an equivalent expression of (2^6)^2 using the Power Rule of Exponents is 2^12.

Answer 14

What is the result of (2^3)^3 using the Power Rule of Exponents?(1 point)

Responses

2
2

512
512

1
1

64

Answer 15

[AI-generated answer — Bot GPT 3.5]

To find the result of (2^3)^3 using the Power Rule of Exponents, we need to apply the rule of multiplying the exponents.

First, let's simplify the expression inside the parentheses, (2^3). This equals 8.

Now, we can rewrite the expression as 8^3.

Using the Power Rule of Exponents, we multiply the exponents, giving us 8^3 = 512.

Therefore, the result of (2^3)^3 using the Power Rule of Exponents is 512.