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Sedbober [7]
3 years ago
6

Choose the correct simplification of the expression the quantity a to the 3rd power over b to the 7th power all raised to the 2n

d power. a to the 5th power over b to the 9th power a over b to the 14th power a to the 6th power over b to the 14th power a6b14
Mathematics
2 answers:
sertanlavr [38]3 years ago
8 0
(\frac{a^3}{b^7})^2=\frac{a^{3 \times 2}}{b^{7\times2}}= \frac{a^6}{b^{14}}
Maksim231197 [3]3 years ago
5 0
(a^3/b^7)^2
Bring the power of 2 into the numerator and denominator.
a^6/b^14
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Hello, how can I do this equation?
kompoz [17]
(9^x) - 3 = 2*3^x
(9^x) - 3 - (2*3^x) = (2*3^x) - (2*3^x)
(9^x) - (2*3^x) - 3 = 0
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z^2 - 2*z - 3 = 0  ............ let z = 3^x
(z - 3)(z + 1) = 0

If z-3 = 0, then z = 3 when we isolate z
If z = 3, and z = 3^x, then
z = 3
3^x = 3
3^x = 3^1
x = 1
which is a solutin in terms of x

If z+1 = 0 then z = -1
If z = -1 and z = 3^x, then there are NO solutions for this part of the equation
The quantity 3^x is never negative no matter what the x value is

---------------------------------------------------------------

Answer: x = 1
4 0
3 years ago
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