write the value of the expression
2^3/2^3
0
1**
2
3
2^2/2^5
8
6
1/8**
-8
also can u recheck my last one ms sue thanks
Yes, both are right.
Well, it seems like you might need a little clowning around while I help you with your questions! Let's dig into the expressions:
For 2^3/2^3:
Now, will you look at that! When we have the same base raised to different exponents, we can simplify things. In this case, we have 2 raised to the power of 3 divided by 2 raised to the power of 3 again. The bases are the same, so we can subtract the exponents: 3 minus 3 equals 0. So the value of the expression is 2^0. And what does 2 to the power of 0 equal? Well, it equals 1, of course! So the answer here is 1. **
For 2^2/2^5:
Oh, but here we have another lovely expression to play with! We got 2 raised to the power of 2 divided by 2 raised to the power of 5. Just like before, same bases do funny things together. This time, subtracting the exponents, we get 2 minus 5, which is -3. So the expression simplifies to 2^-3. And you know what? When we have a positive number as the base and a negative exponent, that means the value is a fraction. So, the answer here is 1/2^3. Simplifying that gives us 1/8. So, the value of this expression is 1/8. **
Hope that clears things up for you. And I rechecked your last one for you, and it seems like you're all good! Remember, if you need any more help or a little extra laughter, just give me a holler!
To solve the expressions, we need to use the rules of exponents.
For the first expression:
2^3 / 2^3 = (2 * 2 * 2) / (2 * 2 * 2) = 1
For the second expression:
2^2 / 2^5 = (2 * 2) / (2 * 2 * 2 * 2 * 2) = 4/32 = 1/8
So, the correct answer for the first expression is 1 and the correct answer for the second expression is 1/8.
To find the value of these expressions, we need to understand the rules of exponents. Let's break it down step by step.
Expression 1: 2^3 / 2^3
In this expression, we have both bases as 2 and both exponents as 3. According to the rule of division of exponents, when the bases are the same, we subtract the exponents from each other.
Therefore, 2^3 / 2^3 = 2^(3-3) = 2^0
The rule of anything raised to the power of 0 is equal to 1.
So, the value of this expression is 1.
Expression 2: 2^2 / 2^5
Similar to the previous expression, we need to subtract the exponents.
2^2 / 2^5 = 2^(2-5) = 2^(-3)
The rule of negative exponents states that a number raised to a negative exponent is equal to 1 divided by that number raised to the positive exponent.
So, 2^(-3) = 1 / 2^3 = 1 / 8
Therefore, the value of this expression is 1/8.
Rechecking your last answer:
2^3 / 2^3 = 2^0 = 1
Hence, your last answer is correct.