Answer:
Three rules are used
1) Product of powers
2) Power of a power
3) Negative exponents
Step-by-step explanation:
The given expression is [(7)⁵(7)³]⁻⁴
<u>To find the value of [(7)⁵(7)³]⁻⁴
</u>
[(7)⁵(7)³]⁻⁴ = [(7)⁵⁺³]⁻⁴ = [(7)⁸]⁻⁴(using product of powers rule)
[(7)⁵⁺³]⁻⁴ = [(7)⁸ˣ⁻⁴] = 7⁻³² [using powers of power rule)
7⁻³² = 1/7³² (using negative exponent rule)
Using three rules we can solve [(7)⁵(7)³]⁻⁴
Therefore the correct answers are
1) Product of powers
2) Power of a power
3) Negative exponents
The equation for Cole's earnings per hour is
y = 12.5 + 0.75x
for Amad's:
y = 10.50 + 2x/2
When we equate them
12.5 + 0.75x = 10.50 + 2x/2
Solving for x
x = 2
They will have the same earning rate after 2 years
Answer:
black and white
Step-by-step explanation:
The table tells you the printer can produce y = (52/2)x = 26x color pages in x minutes. The function tells you the printer can produce y = 33x black and white pages in x minutes. That is more pages per minute.
The printer is faster printing black and white pages.