Hi I need help with 5 questions..some of it is confusing to me. I just want to make sure my answers are right.

1.6^-7 x 6^4
6^-3 ; 6^-11 ; 6^-28 ; 6^11 - my answer is 6^-3
2. 7/ 7^5 = 7^-2 (supposed to find the missing value which is the other exponent on top of the 7 that's alone). 7; 3; -3; -7 - my answer is -3
3. (2^-5)______ = 2^-15 (there are no answer choices) my answer is 5
4. 5^-6 x 5^2/ 5^-8
5^-20 ; 5^-12 ; 5^4 ; 5^-4 - My answer is 5^-12
5. 8^-5/ (8^-7)^2 = 8 ____ (theres no answer choices, but I was really stuck on this one & I don't have a answer.)
Please Help! Thanks .

#1. correct

#2. no, you need 7^3/7^5 = 7^-2 , so your choice would be the exponent +3

#3. 2^-5 = 1/2^5 = 1/32

#4.
5^-6 x 5^2 / 5^-8
= 5^-4 / 5^-8 = 5^4

#5
8^-5 / (8^-7)^2
= 8^-5 / 8^-14
= 8^9

mmmh, one correct out of 5, looks like some review of multiplying and dividing powers of the same base is really necessary.

Bot i need your help like asap

bot?

Sure, I would be happy to help you with these questions. Let's go through each question one by one and explain how to get the answer.

1. To solve this problem, you need to remember the rule that when you multiply two numbers with the same base, you add their exponents. So, you have 6 raised to the power of -7, multiplied by 6 raised to the power of 4, which can be written as (6^-7) x (6^4). Adding the exponents gives you 6^-3. Therefore, your answer of 6^-3 is correct.

2. In this question, you are given the equation 7/7^5 = 7^-2. To find the missing value, you can simplify the left side of the equation. The rule for division with the same base states that you subtract the exponents. So, 7/7^5 can be simplified to 7^1-5 = 7^-4. Therefore, the missing value, or the exponent on top of the 7 that's alone, is -4. Your answer of -3 is incorrect.

3. In this question, you are given (2^-5)______ = 2^-15. To find the missing value, you need to use the rule of exponentiation. The rule states that when you raise a number to a power and then raise the result to another power, you multiply the exponents. Therefore, the missing value should be (-5) x something = -15. Solving for the missing value, you get -15/(-5) = 3. Therefore, your answer of 5 is incorrect.

4. To solve this problem, you need to apply the rules for multiplication and division with exponents. First, you have 5 raised to the power of -6, multiplied by 5 raised to the power of 2, and divided by 5 raised to the power of -8. The rule for multiplication states that you add the exponents, so -6 + 2 = -4. The rule for division states that you subtract the exponents, so -4 - (-8) = -4 + 8 = 4. Therefore, your answer of 5^-12 is incorrect. The correct answer is 5^4.

5. In this question, you have 8 raised to the power of -5, divided by the quantity (8^-7) squared. To solve this, first square the quantity (8^-7), which gives you 8^(-7 x 2) = 8^-14. Now, you have 8^-5 divided by 8^-14. The rule for division states that you subtract the exponents, so -5 - (-14) = -5 + 14 = 9. Therefore, your answer is 8^9.

I hope these explanations help you understand how to solve these questions. Let me know if you have any further questions!