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ycow [4]
3 years ago
7

Find the values for a, b, and c that complete the simplification.

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
3 0

Answer:

a = 6, b = 4, c = 2

Step-by-step explanation

see attached

kiruha [24]3 years ago
3 0

Answer:

The required values are a=6, b=4 and c=2.

Step-by-step explanation:

The given expression is

\sqrt{x^{12}y^{9}z^{5}}=(x^{a}y^bz^c)\sqrt{yz}          .... (1)

It can be written as

\sqrt{x^{12}\cdot y^{8}\cdot y\cdot z^{4}\cdot z}

\sqrt{x^{12}\cdot y^{8}\cdot z^{4}\cdot y\cdot z}

\sqrt{(x^{6})^2\cdot (y^{4})^2\cdot (z^{2})^2\cdot y\cdot z}     [\because (a^m)^n=a^{mn}]

\sqrt{(x^{6}y^4z^2)^2\cdot y\cdot z}          [\because a^xb^x=(ab)^x]

(x^{6}y^4z^2)\sqrt{yz}               .... (2)       [\because \sqrt{x^2}=x]

From (1) and (2), we get

a=6,b=4,c=2

Therefore the required values are a=6, b=4 and c=2.

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