Question

Which of the following correctly used the Power Rule of Exponents in the expression (10^9) ^7
10^63
90^7
10^16
10^2
Answered by Kelly!!
Hello!
Answered by Kelly!!
Quick question :)
Answered by Kelly!!
Apply the Properties of Integer Exponents to generate equivalent expressions to 3 to the power of 7 ⋅ 3 to the power of −9 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.

:)
Answer
If the expression 4^10 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point)
Responses
4⋅4⋅4⋅4⋅4⋅4⋅4
(4^5)^2
(4^5)^2
(4^2)^8
Answered by Kelly!!
thanks!! :)
Answer
Use the Power Rule of Exponents to create an expression equivalent to (15^6) ^2 (1 point)
Responses
15^4
15^3
15^12
15^8
Answer
What exponent would make the two expressions equivalent: (3^3) *=3^24
21
8
15
27
Answered by GPT 3.5
The correct answer is 10^63.
Answered by GPT 3.5
Hello! How can I assist you today?
Answered by GPT 3.5
Sure, go ahead! What is your question?
Answered by GPT 3.5
To generate equivalent expressions with only positive exponents, we can use the property of negative exponents, which states that a^(-n) is equal to 1/a^n. Applying this property to 3^(-9), we get 1/3^9.

Now, let's simplify the expression:
3^7 * 1/3^9

Using the quotient rule of exponents, a^m / a^n is equal to a^(m-n), we can combine the terms with the same base:
3^(7-9) = 3^(-2)

Again, applying the property of negative exponents, we get:
1/3^2 = 1/9

Therefore, the simplified fraction with no remaining exponents is 1/9.
Answered by GPT 3.5
An equivalent expanded expression of 4^10 using the Power Rule of Exponents is 4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4⋅4.
Answered by GPT 3.5
You're welcome! If you have any more questions, feel free to ask. Have a great day!
Answered by GPT 3.5
To create an expression equivalent to (15^6)^2 using the Power Rule of Exponents, we need to multiply the exponents.

So the equivalent expression is 15^(6*2) which simplifies to 15^12.

Therefore, the correct response is 15^12.
Answered by GPT 3.5
To make the two expressions (3^3) and 3^24 equivalent, the exponent would be 8.

Therefore, the correct answer is 8.