2 years ago

Factor completely 25x2-144

Mathematics

1 answer:

rusak2 [61]2 years ago

7 0

Answer:

Step-by-step explanation:

-94

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2 years ago

Which expression is equivalent to (81x4y16)12 for all positive values of x and y?<br> 40.5x4y16

IrinaVladis [17]

Answer:

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

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

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

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

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

$9^1 * x^2 * y^8$

$9 * x^2 * y^8$

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Hence:

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

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2 years ago

Simplify the problem 2/sqrt 5

AURORKA [14]

2/sqrt 5

by rationalising the denominator,

2/sqrt 5 × sqrt 5/sqrt 5

= 2(sqrt 5)/sqrt 5(sqrt 5)

= 2 sqrt 5/5

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hope this helps! :))))

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3 years ago