Answer:
<h2>Jan is 10 years old.</h2><h2>Kate is 30 years old.</h2>Step-by-step explanation:
To solve this problem, we need to find a system of equations.
<h3>Now: Kate is three times as old as Jan.</h3>This statement can be expressed as , beacuse "three times" indicates a product.
This statement can be expressed as , notice that we had to subtract 6 units, representing 6 years in the past.
Let's replace the first equation into the second one
Therefore, Jan is 10 years old.
Then,
Therefore, Kate is 30 years old.
Answer:
A)
B)
C)
Step-by-step explanation:
Given the exponential expression, :
A) is equivalent to
due to the Product Rule of exponents:
.
Next, apply the Power-to-Power Rule of exponents: .
B) is equivalent to
due to the Power-to-Power Rule of exponents:
.
C) is equivalent to
due to the Product-to-Power Rule of exponents:
.