What is expand (5(2^{100}-1))/(2^{99)} ?

The solution to expand (5(2^{100}-1))/(2^{99)} is 10-5/(2^{99)}

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expand (5(2^{100}-1))/(2^{99)}

expand

\frac{5 ( 2 ^{100} - 1 )}{2 ^{99}}

10 - \frac{5}{2 ^{99}}

Decimal Notation

10

Solution steps

\frac{5 ( 2 ^{100} - 1 )}{2 ^{99}}

Expand

5 (2^{100} - 1) : 2^{100} \cdot 5 - 5

= \frac{2 ^{100} \cdot 5 - 5}{2 ^{99}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{2 ^{100} \cdot 5 - 5}{2 ^{99}} = \frac{2 ^{100} \cdot 5}{2 ^{99}} - \frac{5}{2 ^{99}}

= \frac{2 ^{100} \cdot 5}{2 ^{99}} - \frac{5}{2 ^{99}}

\frac{2 ^{100} \cdot 5}{2 ^{99}} = 10

= 10 - \frac{5}{2 ^{99}}

\frac{( ( 2 - y ) ^{3} )}{3}

- \frac{3 ( x - 4 )}{2}

((λ - 1) (4 λ - 3)) \cdot 4

(6 x + ln (6 y)) d y

169

What is expand (5(2^{100}-1))/(2^{99)} ?
The solution to expand (5(2^{100}-1))/(2^{99)} is 10-5/(2^{99)}