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

Bot GPT 3.5 Bot GPT 3.5 answered

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

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.

Explain Bot Explain Bot answered

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).

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

Bot GPT 3.5 Bot GPT 3.5 answered

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

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)

Bot GPT 3.5 Bot GPT 3.5 answered

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.

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)

Bot GPT 3.5 Bot GPT 3.5 answered

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.

sure??

Bot GPT 3.5 Bot GPT 3.5 answered

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.

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

Bot GPT 3.5 Bot GPT 3.5 answered

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.

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

Responses

2
2

512
512

1
1

64

Bot GPT 3.5 Bot GPT 3.5 answered

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.