What is expand (75(4^{24}+4^{23}*72))/(4^{25)} ?

The solution to expand (75(4^{24}+4^{23}*72))/(4^{25)} is 75/4+675/2

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expand (75(4^{24}+4^{23}*72))/(4^{25)}

expand

\frac{75 ( 4 ^{24} + 4 ^{23} \cdot 72 )}{4 ^{25}}

\frac{75}{4} + \frac{675}{2}

Solution steps

\frac{75 ( 4 ^{24} + 4 ^{23} \cdot 72 )}{4 ^{25}}

Expand

75 (4^{24} + 4^{23} \cdot 72) : 4^{24} \cdot 75 + 4^{23} \cdot 5400

= \frac{4 ^{24} \cdot 75 + 4 ^{23} \cdot 5400}{4 ^{25}}

Apply the fraction rule:

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

\frac{4 ^{24} \cdot 75 + 4 ^{23} \cdot 5400}{4 ^{25}} = \frac{4 ^{24} \cdot 75}{4 ^{25}} + \frac{4 ^{23} \cdot 5400}{4 ^{25}}

= \frac{4 ^{24} \cdot 75}{4 ^{25}} + \frac{4 ^{23} \cdot 5400}{4 ^{25}}

\frac{4 ^{24} \cdot 75}{4 ^{25}} = \frac{75}{4}

\frac{4 ^{23} \cdot 5400}{4 ^{25}} = \frac{675}{2}

= \frac{75}{4} + \frac{675}{2}

(a + b + c) (e + f + g) (h + i + j)

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\frac{2 ( 60 x ^{4} - 53 x ^{2} + 12 )}{x ( 3 x ^{2} + 4 ) ( 20 x ^{2} + 3 )}

(1 + e^{2 x}) (- 2 e^{2 x})

What is expand (75(4^{24}+4^{23}*72))/(4^{25)} ?
The solution to expand (75(4^{24}+4^{23}*72))/(4^{25)} is 75/4+675/2