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29 votes
29 votes
I really need help . It’s the second part of the eqaution that confuses me .

I really need help . It’s the second part of the eqaution that confuses me .-example-1
User Sean Long
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2 Answers

13 votes
13 votes
18+6=24
10x2= 20

Answer: 5^24 / 5^20 = 5^ 4
I really need help . It’s the second part of the eqaution that confuses me .-example-1
User Nguyen Phuong
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2.7k points
16 votes
16 votes

Answer:

The answer is 5^4

Explanation:

You are given the expression 5^18 times 5^6 while all over (5^10)^2

First, let's simplify the numerator

Whenever you multiply exponents with the same base, which is 5 in this case, you have to add the exponents or powers

Keep the base the same and 18 and 6 together

So, 5¹⁸ ° 5⁶ = 5¹⁸⁺⁶ = 5²⁴

you have 5²⁴ in the numerator

now let's work on simplifying the denominator

Whenever you have number that has a power and is taken to another power, you multiply the powers

We call this the power of the power rule

So, (5¹⁰)² = 5¹⁰ˣ² = 5²⁰

Now the denominator is 5^20

We have 5^24/5^20

Now you just subtract the powers 24-20=4

And you get 5^4

Hope this helps

User Timofey Drozhzhin
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3.1k points