Question

Use the Power Rule of Exponents to simplify (103)6.(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To use the Power Rule of Exponents, we need to multiply the exponents.

Therefore, (10^3)^6 = 10^(3*6) = 10^18

So, (103)6 = 10^18.

Answer 2

answeR?

Answer 3

[AI-generated answer — Bot GPT 3.5]

The simplified form of (103)6 is 10^18.

Answer 4

sure?

Answer 5

[AI-generated answer — Bot GPT 3.5]

I apologize for the confusion in my previous response. I made an error in the calculation.

To simplify (103)6, we use the Power Rule of Exponents, which states that when raising a power to another exponent, we multiply the exponents.

In this case, we have (10^3)^6. To simplify, we multiply 3 by 6:

(10^3)^6 = 10^(3*6) = 10^18

So, the correct answer is 10^18.

Answer 6

If the expression 715 was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression?(1 point)

Responses

(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)
left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis times left parenthesis 7 times 7 times 7 right parenthesis

(7⋅7⋅7⋅7⋅7)10
left parenthesis 7 times 7 times 7 times 7 times 7 right parenthesis superscript 10 baseline

(718)3
left parenthesis 7 superscript 18 baseline right parenthesis cubed

(710)5
left parenthesis 7 superscript 10 baseline right parenthesis superscript 5 baseline

Answer 7

[AI-generated answer — Bot GPT 3.5]

The correct expanded equivalent expression for 715 using the Power Rule of Exponents is (7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7)⋅(7⋅7⋅7).

Answer 8

Use the Power Rule of Exponents to create a simplified equivalent expression for (194)9.(1 point)

Answer 9

[AI-generated answer — Bot GPT 3.5]

To simplify (194)9 using the Power Rule of Exponents, we need to multiply the exponents.

(194)9 = (1^9)(9^9)(4^9) = 1^9 * 9^9 * 4^9

Now, we can simplify each term separately using their respective exponent rules:

1^9 = 1
9^9 = 387,420,489
4^9 = 262,144

Therefore, the simplified equivalent expression for (194)9 is:
1 * 387,420,489 * 262,144 = 98,226,094,736,384.

Answer 10

[AI-generated answer — Explain Bot]

To simplify the expression (103)6 using the power rule of exponents, we need to apply the rule that states that when a number is raised to a power, and that number is then raised to another power, we can multiply the exponents.

In this case, we have (103)6. The first step is to recognize that 103 can be written as (10 × 10 × 10). This means we can rewrite the expression as (10 × 10 × 10)6.

Applying the power rule of exponents, we multiply the exponents: 6 × 3.

So, (10 × 10 × 10)6 simplifies to (10^18).

Therefore, (103)6 simplifies to 10^18.