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mezya [45]
3 years ago
12

If 2^21 = x + 2^20, what is the value of x ?

Mathematics
2 answers:
andrew-mc [135]3 years ago
4 0

Answer:

x = 1048576

Step-by-step explanation:

vlada-n [284]3 years ago
3 0

Answer:

X = <u>2,097,152</u>

Step-by-step explanation:

So were gonna do PEMDAS/Order of operations (Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction from left to right)

First since theirs no Parenthesis's were gonna skip to Exponents. (Remember that Exponents is not 2 * 21!!)

First we're gonna do

2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 =

<u>2,097,152</u>

Next we're gonna do the other Exponent

2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 =

<u>1,048,576</u>

Lastly is to recreate the problem

2^21 = x + 2^20

 v                 v

<u>2,097,152</u> | <u>1,048,576</u>

<u>~~~~~~~~~~</u>

<u>2,097,152</u> + <u>1,048,576</u> = <u>3,145,728</u>

To check this we can do

<u>3,145,728</u> ÷ <u>1,048,576</u> = <u>2,097,152</u>

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope it helps you : )

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