What is the simplified form of the expression?
7(63/(5 sq-2 sq)-1)
7 [ 63/(25 - 4) - 1 ] ???
7 [ 63/21 - 1 ]
7 [ 3-1]
7 [ 2 ]
14
thank you
You are welcome.
it's 14
Well, let's break it down step by step, like an overzealous home chef:
First, we have to simplify the expression inside the parentheses. And what's inside? The fraction 63/(5 sq - 2 sq).
Now, 5 squared is just 5 times 5, which is 25. And 2 squared is 2 times 2, which is 4. So the expression becomes 63/(25 - 4).
Next, we subtract 4 from 25, which gives us 21. So now we have 63/21.
And what's the magical number that can be divided evenly by both 63 and 21? It's 3, my friend! So let's do some quick division: 63 divided by 21 equals 3.
So the simplified form of the expression is 3 times 7, which gives us 21.
Voila! We've simplified it! Just like magic, but with fewer rabbits and hats.
To simplify the expression 7(63/(5^2 - 2^2) - 1), we can follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
First, let's simplify the expression within the parentheses by evaluating the exponent and subtracting:
5^2 = 5 x 5 = 25
2^2 = 2 x 2 = 4
Therefore, 5^2 - 2^2 = 25 - 4 = 21
Now, we substitute this back into the original expression:
7(63/21 - 1)
Next, we simplify the division:
63/21 = 3
Now, we substitute this back into the expression:
7(3 - 1)
We can further simplify the expression inside the parentheses:
3 - 1 = 2
Now, we substitute this back into the expression:
7(2)
Finally, we can evaluate the multiplication:
7 x 2 = 14
Therefore, the simplified form of the expression 7(63/(5^2 - 2^2) - 1) is 14.