Solve the following expression:
Solve the following expression:
Solve the following:
Solve:
Solve the following expression:
When raising any number to the power of 0 it results in the value 1, mathematically:
Apply this to both the numerator and denominator of the fraction in the problem:
Note that -36 is a power of the number 6:
Apply this to the denominator to obtain expressions with identical bases in both the numerator and denominator:
Recall the power rule for power of a power in order to simplify the expression in the denominator:
Recall the power rule for division between terms with identical bases:
Apply these two rules to the expression that we obtained above:
In the first stage we applied the power of a power rule and proceeded to simplify the expression in the exponent of the denominator term. In the next stage we applied the second power rule - The division rule for terms with identical bases, and again simplified the expression in the resulting exponent.
Finally we'll use the power rule for negative exponents:
We'll apply it to the expression that we obtained:
Let's summarize the various steps of our solution:
Therefore the correct answer is A.
Solve the following:
To solve this problem, follow these steps:
Step 1: Simplify the first fraction:
The first expression is .
Cancel the common factor of : .
This simplifies to .
Cancel the common factor of : cancels to .
Cancel part of the terms: .
The result is .
Step 2: Simplify the second fraction:
The second expression is .
No common factors in the numerator and denominator, so it remains .
Step 3: Multiply these simplified results:
Now, multiply the results from Step 1 and Step 2: .
The factor of in and cancels: .
This results in .
Cancel part of the terms: .
Thus, the simplified expression is .
Therefore, the solution to the problem is .
Solve: