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:
Both Tom and Jerry will apart 176 miles in 2 hours .
Step-by-step explanation:
Given as:
Tom and Jerry moves in opposite direction
The speed of Tom = 38 mph
The speed of Jerry = 50 mph
Let The distance cover by Tom = x mile
The distance cover by Tom = ( 176 - x ) miles
Time taken by both are same = T hour
Or, Time taken by Tom
T = 
... 1
∴ x = 38 T
And Time taken by Jerry
Or, T = 
So , put the value of T from 1
=
Or, 50 × x = ( 176 - x ) × 38
So 50 x + 38 x = 6688
Or, 88 x = 6688
∴ x = 
= 76 mile
So, From, eq 1
T =
or, T = 
= 2 hours
Hence both Tom and Jerry will apart 176 miles in 2 hours . Answer
8x2+64x=0
16x+64x=0 ===> x=0
The equation that describes the number of bacteria in both the foods when they are mixed is; Option C: 35T₂ + 55T + 450
<h3>How to simply quadratic Equations?</h3>
We are given the equations that describes the number of bacteria in both the foods when they are mixed.
Equation for first bacteria is;
N₁(T) = 15T₂ + 60T + 300
Equation for second Bacteria is;
N₂(T) = 20T² - 5T + 150
The equation that describes the number of bacteria in both the foods when they are mixed is;
N₁(T) + N₂(T) = 15T₂ + 60T + 300 + 20T² - 5T + 150
⇒ 35T₂ + 55T + 450
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