Answer:
The numbers are 23 and 7
Step-by-step explanation:
1. Set up the equations
Let x = the greater number
and y = the smaller number. Then
(1) x - y = 16
4y = 4 times the smaller number and
4y - 5 = 5 less than 4 times the smaller number. Then
(2) x = 4y - 5
You have a system of two equations:
2. Solve the equations
The larger number is 23; the smaller number is 7.
3. Check
OK.
Answer:
Step-by-step explanation:
First, let's examine our original statement.
Using exponent rules, we know that if we have , then simplified, the answer will be equivalent to
.
So we can simplify this by adding the exponents and
.
Converting into fourths gets us
.
.
So we now have .
When we have a number to a fraction power, it's the same thing as taking the denominator root of the base to the numerator power.
Basically, this becomes
. (The numerator is what we raise x to the power of, the denominator is the root we take of that).
Hope this helped!