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3 years ago

What is 10 x 3000 plus 200

Mathematics

2 answers:

erastovalidia [21]3 years ago

7 0

3000*10=30000
30000+200=30200

zhuklara [117]3 years ago

4 0

Answer:

30,200

Step-by-step explanation:

We know that if we multiply 10x3000 it brings us to 30,000

So,

30,000

200

__________________________

30,200

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Simplify 5 to the power of negative 2 over 4 to the power of 6?

Naya [18.7K]

Answer:

Step-by-step explanation:

$\frac{5^{-2} }{4^{6} } =\frac{1}{5^{2} 4^{6} }$

4 0

3 years ago

What is the value of x in the equation ex- y = 30, when y = 15?

Bumek [7]

Answer:

x = 45

Step-by-step explanation:

Solution:

x - y = 30

x - 15 = 30 ( y = 15 given)

x = 30 + 15

Therefore, x = 45

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3 years ago

Find thhe remainder when 7^203 is divided by 4

Aleksandr [31]

Using the square-and-multiply approach, we have

$7^{203}=7\times(7^{101})^2$
$7^{101}=7\times(7^{50})^2$
$7^{50}=(7^{25})^2$
$7^{25}=7\times(7^{12})^2$
$7^{12}=(7^6)^2$
$7^6=(7^3)^2$
$7^3=7\times7^2$

and so, using the property that, if $a_1\equiv b_1\mod n$ and $a_2\equiv b_2\mod n$ , then $a_1a_2\equiv b_1b_2\mod n$ , we get

$7\equiv3\mod4$
$7^2\equiv9\equiv1\mod4$
$7^3\equiv7\times1\equiv7\equiv3\mod4$
$7^6\equiv9\equiv1\mod4$
$7^{12}\equiv1\mod4$
$7^{25}\equiv7\times1\equiv7\equiv3\mod4$
$7^{50}\equiv9\equiv1\mod4$
$7^{101}\equiv7\times1\equiv7\equiv3\mod4$
$7^{203}\equiv7\times9\equiv3\times1\equiv3\mod4$