Answer: D
Step-by-step explanation:
From the equation given , ( -3)⁰(2x⁻¹y⁻¹)²
Recall :From the laws of indicies,
x⁰ = 1 ,and (xᵃ)ᵇ = xᵃ ˣ ᵇ = xᵃᵇ. and x⁻¹ = 1/ₓ
Therefore,
(-3)⁰ = 1,
( 2x⁻¹y⁻1 )² = 2²x⁻¹ ˣ ²y⁻¹ x ²
= 2²x⁻²y⁻²
=4x⁻²y⁻²
Now going by the law above, the expression will be
=4/ₓ²y²
So the answer is D
Answer:
60 yards
Step-by-step explanation:
100 + 20 + 60= 180 ft
180 feet contributed into yards is 60.
Answer:
Step-by-step explanation:
Adding the expressions in the numerator, we get:
6·10^(-5).
Then the given fraction appears like:
6·10^(-5)
-------------
3·10^7
First, we reduce 6/3, obtaining 2:
10^(-5)
2 -------------
10^(7)
Since the bases are the same, we can rewrite these exponentials with that base (10) and single exponent 12, which is the sum of 5 and 7 and is in the denominator:
2
---------
10^12
This matches the second possible answer choice.
(3) that’s the answer ! Have a great day love
Answer:
921.165 feet
Step-by-step explanation:
Ok we are looking for the length of the base.
Now let's take the question and picture it as a triangle, we will find out that it looks like a right angle triangle.
The height= 645 feet
Angle of elevation= 35°
Base is unknown
To find the base
We recall that tan of angle
= opposite/adjacent
In this case
Angle= 35°
Opposite= height= 645
Adjacent= base
Tan 35 = 645/adj
Adj =645/tan 35
Adj =645/0.7002
Adj = 921.165
The base is 921.165 feet