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Leto [7]
3 years ago
14

Ok need help please help Thank you

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0
96 1/2 

there is ur answer i think :)
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Which expression is equivalent to (81x4y16)12 for all positive values of x and y?<br> 40.5x4y16
IrinaVladis [17]

Answer:

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Step-by-step explanation:

Given

(81x^4y^{16})^{\frac{1}{2}}

Required

Determine an equivalent expression

Express 81 as 9^2

(9^2x^4y^{16})^{\frac{1}{2}}

Apply law of indices

9^2^{\frac{1}{2}} * x^4^{\frac{1}{2}} * y^{16}^{\frac{1}{2}}

9^{\frac{2*1}{2}} * x^{\frac{4*1}{2}} * y^{\frac{16*1}{2}}

9^{\frac{2}{2}} * x^{\frac{4}{2}} * y^{\frac{16}{2}}

9^1 * x^2 * y^8

9 * x^2 * y^8

9 x^2 y^8

Hence:

(81x^4y^{16})^{\frac{1}{2}} = 9 x^2 y^8

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