Answer:
Step-by-step explanation:
Okay so I will explain the first one.
2 to the power of 4 = 2x2x2x2
2 to the power of 6 = 2x2x2x2x2x2
2 to the power of 4 = 2x2x2x2
2^4 = 16
2^6 = 64
When you are multiplying powers you add.
+
When you subtract you takeaway.
-
So you would do
4+6+4
= 14
Meaning 2 to the power of 14
2
So what is 2 to the power of 14.
You would do
2x2x2x2x2x2x2x2x2x2x2x2x2x2
The answer is 16384
You can also use a calculator
GOOD LUCK FOR YOUR TEST!
Answer:
75%
Step-by-step explanation:
A percent is a value out of 100.
Change the fraction to an equivalent fraction with the denominator equal to 100.
×
=
This fraction represents a percent.
= 75%
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• 1 + cot² x = csc²x and csc x =
• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Consider the left side
sin²Θ( 1 + cot²Θ )
= sin²Θ × csc²Θ
= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified
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Consider the left side
cos²Θ - sin²Θ
= cos²Θ - (1 - cos²Θ)
= cos²Θ - 1 + cos²Θ
= 2cos²Θ - 1 = right side ⇒ verified