5^2(5^3⋅5^2) What is the answer
1 answer:
Answer: 5^10
Step-by-step explanation:
If you’re Talking about exponents, you do what’s in the parentheses first, 5^3×5^2 which will be 5^5 because you are adding exponents when multiplying by the same base. Then you multiply The exponents 2 and 5 because when you are multiplying exponents that are in parentheses you multiply the exponents and leave the base the same.
Ps. I’ve added a picture with the rules, I hope this helps
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Answer: The log simplifies to -2
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Explanation:
We will use the log rule that log(x^y) = y*log(x). Call this log rule 1. This log rule basically allows us to pull the exponent down.
Another log rule that we will use is
where x is any positive real number but x = 1 is NOT allowed. Call this log rule 2.
Because 36 = 6^2, this means that 1/36 = 6^(-2)
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So,
Use log rule 1 (see above)
Use log rule 2 (see above)
This means that the given expression simplifies to -2
You can use a calculator to type in "log(1/36)/log(6)" without quotes and you should get -2 as the answer
-------------------------------------------
-------------------------------------------
Explanation:
We will use the log rule that log(x^y) = y*log(x). Call this log rule 1. This log rule basically allows us to pull the exponent down.
Another log rule that we will use is
Because 36 = 6^2, this means that 1/36 = 6^(-2)
-------------
So,
This means that the given expression simplifies to -2
You can use a calculator to type in "log(1/36)/log(6)" without quotes and you should get -2 as the answer