The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i
<h3>How to simplify the expression?</h3>
The expression is given as:
(7 + 9i)(8 - 10i)
Expand the bracket
7 * 8 + 9i * 8 -7 * 10i - 9i * 10i
Evaluate the products
56 + 72i -70i - 90(i²)
Evaluate the difference
56 + 2i - 90(i²)
In complex numbers;
i² = -1
So, we have:
56 + 2i - 90(-1)
Evaluate
56 + 2i + 90
Add the like terms
146 + 2i
Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i
Read more about complex numbers at:
brainly.com/question/10662770
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Answer:
10+10
Step-by-step explanation:
Answer:
A =530.66 cm^2
Step-by-step explanation:
A DVD is a circle so we can use the formula for area of a circle
A = pi r^2
We can find the radius from
r = d/2 where d is the diameter
r = 26/2
r = 13
A = pi *13^2
A = pi *169
Substituting in for pi
A = (3.14) * 169
A =530.66
Answer:
(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed ⇒ 3rd answer
Step-by-step explanation:
Let us revise some rules of exponents
× 
= 
×÷ = 
= 
= . 
To simplify 
∵ 5t means 5 × t
∵ Both of them are cubed
- Use the 4th rule above
∴ = 
∵ (5)³ = 5 × 5 × 5 = 125
∴ = = 125 t³
(5 t ) cubed = 5 cubed . t cubed = 125 t cubed applies the power of a product rule to simplify (5 t) cubed
