2/4 = 9/18 & 14/28
4/6 = 16/24 & 30/45
6/9 = 8/12 & 32/48
Answer:
Step-by-step explanation:
Required
Match each expression to their simplified form
1.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Split the fraction in the bracket
Simplify the fraction by using the following law of indices;
The expression becomes
Further simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
2.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Further simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
3.
Simplify the numerator as thus:
Simplify the denominator as thus:
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
4.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence
Answer:
2
Step-by-step explanation:
15 + 5 × 3
________
3² + 6
For this question, we need to use PEMDAS to solve the question correctly. PEMDAS stands for "parentheses, exponents, multiplication, division, addition, subtraction". In this question, for the numerator, we see 5 x 3 so that's multiplication. So we multiply those together to get 15. In the denominator, there's an exponent which is 3². We have to find the square of 3 so that we can simplify the denominator as well. That simplifies to 9:
(15+15)/(9+6)
Next, we just have to add the 15+15 in the numerator together and 9+6 in the denominator together:
30/15
Finally, we divide 30/15 to get 2 as our answer
2
Answer:
-3
Step-by-step explanation:
To find:
The value of '?' in the following expression:
Solution:
First of all, let us have a look at a few rules of the exponents:
Let us apply these rules and try to find out the missing value ('?') in the given expression.
Left Hand Side (LHS):
Now, let us compare the LHS with RHS, we get:
Dividing with on both sides:
Therefore, the missing value in the expression is <em>-3.</em>
Answer:
y = 3/2x-3 vs. y = 2x-3
Step-by-step explanation:
2y=3x-6 ------ y = 3/2x-3