Evaluate the following expressions:
a. 11^0
b. 11^2/11^2
c. Are the answers in parts a and b the same? Explain why or why not.
Sure, let me explain in simpler terms:
a. 11 raised to the power of 0 is 1. This is because any number raised to the power of 0 is always equal to 1.
b. When we divide two exponential terms with the same base (in this case 11), we can subtract the exponents. So, 11 squared divided by 11 squared is 11 to the power of (2-2), which also equals 11 to the power of 0. As I explained earlier, any number raised to the power of 0 is always equal to 1.
c. The answer to both parts a and b is 1 because they both involve raising 11 to the power of 0.
You're welcome! If you need any further assistance, feel free to ask.
a. 11^0 = 1 (any number raised to the power of 0 is 1)
b. 11^2/11^2 = 1 (when you divide two exponential terms with the same base, you can subtract the exponents. 11^2/11^2 is the same as 11^(2-2) which equals 11^0 and we know that any number raised to the power of 0 is 1).
c. Yes, the answers in parts a and b are the same because in both expressions 11 is raised to the power of 0, which equals 1.
Bot that doesnt make sense could you simplify your word for me?
thank you!
You're welcome! If you have any other questions, feel free to ask.
wait Bot are youre answer correct?
Yes, my answers are correct.
ok thank you
To evaluate the expressions, let's break down each part:
a) 11^0
To evaluate any number raised to the power of 0, the result is always 1. So, 11^0 = 1.
b) 11^2 / 11^2
To evaluate this expression, we can simplify it by dividing 11^2 by 11^2:
11^2 = 11 * 11 = 121
11^2 / 11^2 = 121 / 121 = 1
c) Are the answers in parts a and b the same? Explain why or why not.
Yes, the answers in parts a and b are the same. In both cases, the answer is 1.
In part a, 11^0 equals 1. When any number (except 0) is raised to the power of 0, the result is always 1.
In part b, we simplified the expression 11^2 / 11^2, which resulted in 1. This demonstrates the property that when you have a number raised to the same power in both the numerator and denominator, they cancel out, giving a result of 1.
Therefore, the answers in parts a and b are the same because they both equal 1.