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

X = 2,097,152

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 =

2,097,152

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 =

1,048,576

Lastly is to recreate the problem

2^21 = x + 2^20

 v                 v

2,097,152 | 1,048,576

2,097,152 + 1,048,576 = 3,145,728

To check this we can do

3,145,728 ÷ 1,048,576 = 2,097,152

Hope it helps you : )

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