Mathematics: Simplify 54x9 y7 . a) 3x4 y3 6 b) 3x4 y3 6xy c) 9x4 y3 6xy d) 9x3 y3 6xy

Simplify 54x9 y7 . a) 3x4 y3 6 b) 3x4 y3 6xy c) - id54973436343694727776, hanjonez

Ответ:

hannahpalacios101

16.01.2022

Mathematics

we have

$\sqrt{54x^{9}y^{7}}$

we know that

$54=2*3^{3} =2*3*3^{2}\\ x^{9}= x^{8}*x \\ y^{7}=y^{6}*y$

Substitute

$\sqrt{(2*3*3^{2})*(x^{8}*x)*(y^{6}*y)}=[{(2*3*3^{2})*(x^{8}*x)*(y^{6}*y)}]^{\frac{1}{2}} \\ \\$

$={(2*3*3^{2})^{\frac{1}{2}}*(x^{8}*x)^{\frac{1}{2}}*(y^{6}*y)}^{\frac{1}{2}}$

$={(2*3)^{\frac{1}{2}}*(3^{2})^{\frac{1}{2}}*(x^{8})^{\frac{1}{2}}*(x)^{\frac{1}{2}}*(y^{6})^{\frac{1}{2}}*(y)}^{\frac{1}{2}}$

$={(2*3*x*y)^{\frac{1}{2}}*(3)*(x^{4})*(y^{3})$

$=3x^{4}y^{3}\sqrt{6xy}$

therefore

the answer is

$3x^{4}y^{3}\sqrt{6xy}$

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Ответ:

navleen4owjrk1

16.12.2020

Mathematics

15-6+7=16. The expression should be written as 15-(6+7).

Step-by-step explanation:

The sum of 6 and 7 is (6+7). 15 minus the sum of 6 and 7 would then be written as 15-(6+7), because this way you subtract the entire sum from 15. The expression 15-6+7 just subtracts 6 from 15, then adds 7 onto this number, which is not the same thing as subtracting 6+7 from 15.

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Simplify 54x9 y7 .
a) 3x4 y3 6 b) 3x4 y3 6xy c) 9x4 y3 6xy d) 9x3 y3 6xy

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