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3 years ago

Which expressions are less that 610

Mathematics

1 answer:

lesantik [10]3 years ago

4 0

Answer:

uhhh you didnt give any answer choices

Step-by-step explanation:

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kirill [66]

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2 years ago

A nickel has a mass of 5 grams.What is the mass of a nickel in milligrams?

DiKsa [7]

5000........................

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3 years ago

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Eduardwww [97]

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2 years ago

Write down the next three terms in each sequence -8,-11,-14,-17

lianna [129]

-20, -23, -26 (adding three)

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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

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

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3 years ago