Answer:
The answer to your question is 2⁸x²⁰ y²⁴ or 256x²⁰y²⁴
Step-by-step explanation:
Data
(2x³y³)⁴ (2x²y³)⁴
To solve this problem, use the law of exponents.
1.- Use the law of Power of a power rule
(2x³y³)⁴ (2x²y³)⁴ = (2⁴x¹²y¹²) (2⁴x⁸y¹²)
2.- Use the multiplication rule
(2⁴x¹²y¹²) (2⁴x⁸y¹²) = 2⁸x²⁰ y²⁴
3.- The answer is 2⁸x²⁰y²⁴ or we can simplify more like
256x²⁰y²⁴
Rate of Change:
At 1 mile in 30 seconds.
At 5 miles in 2.5 minutes. 2.5 minutes = 2.5*60 = 150 seconds.
Rate of change = Change in height / Change in time
= (h₂-h₁)/(t₂-t₁)
= (5 -1) /(150 -30) = 4/120 = (1/30) = 0.0333 miles per second.
= (1/30) miles per second or 0.0333 miles per second.
To have the answer in miles per minute.
(1/30) miles per second = (1/30) miles/second.
60 seconds = 1minute
1 second = (1/60) minute.
(1/30) miles/second = (1/30) miles/(1/60)minute
= (1/30) *60 miles / minute
= 2 miles per minute.
Where did the 9 and 2 come from
