What is expand (3000^8)/(192) ?

The solution to expand (3000^8)/(192) is 5^{24}*573308928

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expand (3000^8)/(192)

expand

\frac{300 0 ^{8}}{192}

5^{24} \cdot 573308928

Decimal Notation

3.41719 E 25

Solution steps

\frac{300 0 ^{8}}{192}

Factor

300 0^{8} : 2^{24} \cdot 5^{24} \cdot 3^{8}

Factor

192 : 2^{6} \cdot 3

= \frac{2 ^{24} \cdot 5 ^{24} \cdot 3 ^{8}}{2 ^{6} \cdot 3}

Cancel

\frac{2 ^{24} \cdot 3 ^{8} \cdot 5 ^{24}}{2 ^{6} \cdot 3} : 5^{24} \cdot 2^{18} \cdot 3^{7}

= 5^{24} \cdot 2^{18} \cdot 3^{7}

2^{18} = 262144

= 5^{24} \cdot 3^{7} \cdot 262144

3^{7} = 2187

= 5^{24} \cdot 262144 \cdot 2187

Multiply the numbers:

262144 \cdot 2187 = 573308928

= 5^{24} \cdot 573308928

(3 i, - 1 j, - 1 k) x (2 i, j, 2 k)

\frac{x ^{2} - 3 x - 1}{x ( x ^{2} + 9 )}

\frac{( 2 x - 1 ) ( 2 x + 1 )}{9 x ^{4}}

(3 y - 1) d y

\frac{1 - s ( 1 - p )}{1 - s ( 1 - x )}

What is expand (3000^8)/(192) ?
The solution to expand (3000^8)/(192) is 5^{24}*573308928