Question

Hey guys ,
:-) :-) Good morning :-) :-)
:-) :-) How are you all :-) :-)

Hers the question for you today :-

1)simply the following
a)
${3}^{6} \times {7}^{3} \times {x}^{2} y \times 75 \div {3}^{7} \times {6}^{3} \times {y}^{2} \times 25$
b)
$729 \times {x}^{2} y \div xy \times {9}^{2}$
2)express the following as product of prime numbers .

a) 1024 *49 .

:-) :-) Thnx :-) :-)
:-) :-) Have a great day :-) :-)

Answer 1

Hi there!
Here's the answer:

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1.
a)

$\frac{{3}^{6} × {7}^{3} × {x}^{2} y × 75}{{3}^{7} × {6}^{3} × {y}^{2} × 25}$

=>$\frac{{3}^{6} × {7}^{3} × {x}^{2} y × 3}{{3}^{7} × {6}^{3} × {y}^{2}}$

=>$\frac{{3}^{7} × {7}^{3} × {x}^{2} y}{{3}^{7} × {6}^{3} × {y}^{2}}$

=> $\frac{{7}^{3} × {x}^{2}}{{6}^{3} × {y}}$

=> $\frac{343x^{2}}{216y}$

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b)
$\frac{729 × {x}^{2} y}{xy × {9}^{2}}$

=> $\frac{9^{3} × {x}^{2} y}{{9}^{2} × xy}$

= 9x

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2.
Using Prime factorisation,

Resolve 1024 into product of prime factors

2 | 1024
2 | 512
2 | 256
2 | 128
2 | 64
2 | 32
2 | 16
2 | 8
2 | 4
2 | 2
•. | 1

•°• 1024 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
=> $1024 = 2^{10}$

Resolve 49 into product of prime factorisation

7 | 49
•. | 7

•°•$49 = 7^{2}$

$1024× 49 = 2^{10} × 7^{2}$

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Hope it helps

Answer 2

Answer:

hi mate

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