Which expression isn't equal to 125?

A. 5((5^3)/(2/5))^2
B. ((5^3) / (5^4))^-3
C. (5^-2)/(5^-5)
D. 5((5^5)/(5^3))

A

What is the correct simplification of (5.4 X 10^12)/(1.2 X 10^3) written in scientific notation?

A. 4.5 X 10^7
B. 4.5 X 10^9
C. 45 X 10^6
D. 6.48 X 10^7

B

DABBB lesson 5: division properties of exponents algebra 1B unit 2: exponents and exponential functions✌️

le quick check... lesson 5 unit 2.

D
A
B
B
B
lel

D A B B B IS CORRRRRRRRRRRRRRECT!

thanks @Alr imma fuhk wit cha

They are 100% correct for connections academy January 2021

as a water bottle this is right and got 100 idk if others will

ITS NOT DABBB ITS DABDB

Im kinda mad bc I followed them

yes

Its DABBB for sure as of right now. Mr. Deez Butts is wrong! Don't listen to him

To determine which expression is not equal to 125, we can simplify each expression and see if the result is 125.

Let's start with option A: 5((5^3)/(2/5))^2
- First, let's solve the expression inside the parentheses: (5^3)/(2/5)
- To calculate 5^3, we raise 5 to the power of 3, which equals 125.
- To divide by 2/5, we multiply by its reciprocal, which is 5/2. So, (125 * (5/2)) = 312.5.
- Next, we square the result: 312.5^2
- Squaring a number means multiplying it by itself. So, 312.5 * 312.5 = 97,656.25.

Since 97,656.25 is not equal to 125, we can conclude that option A is not equal to 125.

Now, let's move on to option B: ((5^3) / (5^4))^-3
- First, let's simplify the expression inside the parentheses: (5^3) / (5^4)
- To calculate 5^3, we raise 5 to the power of 3, which equals 125.
- To calculate 5^4, we raise 5 to the power of 4, which equals 625.
- Dividing 125 by 625 gives us 0.2.
- Next, we raise the result to the power of -3: 0.2^-3
- Raising a number to a negative power means taking the reciprocal of that number and raising it to the positive power. So, 0.2^-3 is equivalent to (1 / 0.2^3).
- 0.2^3 means multiplying 0.2 by itself three times, which gives us 0.008.
- Taking the reciprocal of 0.008 means dividing 1 by 0.008, which equals 125.

Since 125 is equal to 125, we can conclude that option B is equal to 125.

Moving on to option C: (5^-2)/(5^-5)
- Any number raised to a negative power becomes its reciprocal with the positive power. So, 5^-2 is equivalent to 1/(5^2), and 5^-5 is equivalent to 1/(5^5).
- Rewriting the expression, we have: (1/(5^2))/(1/(5^5))
- Dividing by a fraction is equivalent to multiplying by its reciprocal. So, (1/(5^2))/(1/(5^5)) is the same as (1/(5^2)) * (5^5).
- Calculating 5^2 gives us 25, and 5^5 gives us 3125.
- Multiplying 1/25 by 3125 gives us 125.

Since 125 is equal to 125, we can conclude that option C is equal to 125.

Finally, let's consider option D: 5((5^5)/(5^3))
- First, let's simplify the expression inside the parentheses: (5^5)/(5^3)
- When dividing numbers with the same base, we subtract the exponents. So, (5^5)/(5^3) is the same as 5^(5-3) = 5^2 = 25.
- Now, let's multiply the result by 5: 5 * 25 = 125.

Since 125 is equal to 125, we can conclude that option D is equal to 125.

Therefore, the expression that isn't equal to 125 is option A.

Moving on to the next question:

To simplify the expression (5.4 X 10^12) / (1.2 X 10^3), we can divide the numbers and subtract the exponents.

- Dividing 5.4 by 1.2 gives us 4.5.
- Subtracting the exponents, 10^12 divided by 10^3 becomes 10^(12-3) = 10^9.

Therefore, (5.4 X 10^12) / (1.2 X 10^3) simplifies to 4.5 X 10^9.

Among the answer choices: A. 4.5 X 10^7, B. 4.5 X 10^9, C. 45 X 10^6, and D. 6.48 X 10^7, the correct simplification is B, 4.5 X 10^9.