Answer:
150
Step-by-step explanation:
The simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)
<h3>How to simplify the expression?</h3>
The algebraic statement is given as:
(x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6
Rewrite the algebraic statement as:
[(x^0 y^2/3 z^-2y)^2/3]/[(x^2 z^1/2)^-6]
Evaluate the like factors
[(x^0 y^(2/3+1) z^-2)^2/3]/[(x^2 z^1/2)^-6]
Evaluate the sum
[(x^0 y^5/3 z^-2)^2/3]/[(x^2 z^1/2)^-6]
Expand the exponents
[(x^(0*2/3) y^(5/3 * 2/3)z^(-2*2/3)]/[(x^(2*-6) z^(1/2*-6)]
Evaluate the products
[(x^0 y^(10/9) z^(-4/3)]/[(x^(-12) z^(-3)]
Apply the quotient law of indices
x^(0+12) y^(10/9) z^(-4/3+3)
Evaluate the sum of exponents
x^(12) y^(10/9) z^(-1/3)
Hence, the simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)
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Answer:
61.15 m
Step-by-step explanation:
From trigonometry :
Tan x = opposite / Adjacent
x = 28°
Tan 28 = distance from base to fire / height
0.5317094 = distance from base to fire / 115
distance from base to fire = 115 * 0.5317094
distance from base to fire = 61.15 m
Answer: 85
Step-by-step explanation:
360degree for quad
thus
95+85+95 = 275
360-275 = 85
Answer:
1.5
Step-by-step explanation:
The mean is 2.5
1-2.5=1.5
5-2.5=2.5 This is the absolute distance from the mean
3-2.5=0.5
1-2.5=1.5
1.5+2.5+0.5+1.5=6
6/4=1.5
Hope this helps!
If you need more help there are websites such as that have algebra calculators if you need more help!
