Answer:

Step-by-step explanation:
In solving for a⁵ × (a³)², we need to follow the rules of PEMDAS
Therefore, your equation would look like this:
a⁵ × (a³)² = a⁵ × 
When two variables are the same, we add their exponents when multiplying and we would subtract them if we divided.
With that information, your final answer would be
as 5+6 = 11
Hope this Helps!
Answer:

Step-by-step explanation:

Therefore,

Answer:
-15
Step-by-step explanation:
Given is a polynomial in x

We have to find the remainder when the above polynomial is divided by x+5
Remainder theorem says that f(x) gives remainder R when divided by polynomial x-a means f(a) = R
Applying the above theorem we can say that value of the function when x =-5
= Remainder when f is divided by x+5
= F(-5)
Substitute the value of -5 in place of x
= (-5)^4 + 12(-5)^3 + 30(-5)^2 - 12(-5) + 70
= 625-1500+750+60+70
= 5
Hence answer is 5
First: 7cm, 7cm, 11cm
second: 19cm, 3cm, 3cm
The equation: 6s - 10 = s
Add 10 to each side: 6s = s + 10
Subtract 's' from each side: 5s = 10
Divide each side by 5 : s = 2