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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Triangles (1/2 base x height)- 1/2(6) x 8 = 24 each
one side (length x height)- 6.5 x 8 = 52
one side (length x height)- 6.5 x 6 = 39
one side (length x height)- 6.5 x 10 = 65
total 180
8/m-9=6/m-8
Move -9 to the other side. Sign changes from -9 to +9.
8/m-9+9=6/m-8+9
8/m=6/m+1
Move +6m to the other side. Sign changes from +6m to -6m.
8/m-6/m=6/m-6/m+1
2m could also equal to : 1/2m
1/2m=1
Multiply by 2/1 for 1/2m and 1.
1/2(2/1)m=2/1(1)
Cross out 2 and 2, divide by 2. Cross out 1 and 1, divide by 1.
m=2
Answer: m=2
Answer:
<u>390.4 in.²</u>
Step-by-step explanation:
- Area of sector = πr² x θ/360
- Area = 22/7 x 64 x 70/360
- Area = 11 x 10 x 32 x 1/9
- Area = 320 x 11/9
- Area = 320 x 1.22
- Area = <u>390.4 in.²</u>
<span>5/8 = 2m + 3/8
Subtract 3/8 from 5/8
2/8=2m
Divide 2 on both sides
Final Answer: 2/16 or 1/8 *Both answers are equivalent to each other.</span>