Which expression is equivalent to (21x^−2)^0 ?(1 point)
(21x^12y)^1
3x^2 x (1/7) x^-2
7x^2/7x^2
0x^2 x 21x^4
1. 1 (the reason is the any number raised to 0 is equal to 1)
bot which one?
My apologies for the confusion. The equivalent expression to (21x^−2)^0 is:
1. 1
so which answer provided is it
The correct equivalent expression from the options provided is:
1. (21x^12y)^1
On an average weekend, 17^4 people visit Times Square and 17^6 people visit the Great Wall of China. On an average weekend, how many times more people visit the Great Wall of China than Times Square?(1 point)
2 times more people visited the Great Wall
289 times more people visited the Great Wall
34 times more people visited the Great Wall
17 times more people visited the Great Wall
To find out how many times more people visit the Great Wall of China than Times Square, we need to calculate the ratio of people who visit the Great Wall to those who visit Times Square.
Number of people who visit Times Square on an average weekend = 17^4
Number of people who visit the Great Wall of China on an average weekend = 17^6
Ratio of people visiting the Great Wall to those visiting Times Square:
(17^6) / (17^4) = 17^2 = 289
Therefore, 289 times more people visit the Great Wall of China than Times Square.
The answer is:
289 times more people visited the Great Wall
A student simplified this expression: (3^3 ⋅ 2^−4)^4 using these steps:
Step 1: 3^12 ⋅ 2^−16/3^6
Step 2: 3^6/2^16
Step 3: Answer is 0.011 (1 point)
Step 1 had the mistake. It should have been (6^−4)^4/3^6
Step 3 had the mistake. It should have been 3−2 = 1^−2 = 1
There is no mistake. The answer is correct.
Step 2 had the mistake. It should have been 3^2 = 9
Let's simplify the given expression step by step.
Expression: (3^3 ⋅ 2^−4)^4
Step 1: (3^3)^4 ⋅ (2^−4)^4
= 3^12 ⋅ 2^−16
Step 2: (3^12) / (2^16)
= 3^(12-2) (dividing with same base subtracts the exponents)
= 3^6
The correct value after simplification is 3^6, which is equivalent to 729.
The statement "There is no mistake. The answer is correct." is incorrect. The correct simplification is 3^6, which equals 729.