Question

If the expression 7^15 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

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

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

(710)5

Answer 1

Use the Power Rule of Exponents to create a simplified equivalent expression for (19^4)^9 .(1 point)

Answer 2

Apply the Property of Negative Integer Exponents to solve 7^−3 . The answer should not contain any exponent expression or decimals.(1 point)

Is it 0.007?

Answer 3

oh

Answer 4

Apply the product rule of integer exponents to find the numerical equivalent of 12^−5⋅12^7 . Show your work and explain how you used the product rule of integer exponents.(2 points)

Answer 5

left parenthesis 7 superscript 10 baseline right parenthesis to the power of 5

Answer 6

To simplify (19^4)^9 using the Power Rule of Exponents, we can multiply the exponents:

(19^4)^9 = 19^(4*9) = 19^36

Answer 7

No, the answer is not 0.007.

To solve 7^(-3) using the Property of Negative Integer Exponents, we can rewrite it as the reciprocal of 7^3:

7^(-3) = 1 / 7^3 = 1 / (7 * 7 * 7) = 1 / 343

So, the answer is 1/343.

Answer 8

No problem! Please let me know if there's anything else I can help you with.

Answer 9

To apply the product rule of integer exponents to find the numerical equivalent of 12^(-5) * 12^7, we can use the rule which states that when multiplying two terms with the same base, we can add their exponents.

First, let's rewrite the expression using the product rule:

12^(-5) * 12^7 = 12^((-5) + 7)

Now, we simplify the exponent:

12^((-5) + 7) = 12^2

Finally, we can find the numerical equivalent by evaluating 12^2:

12^2 = 144

Therefore, the numerical equivalent of 12^(-5) * 12^7 is 144.