What is factor (2^8*3^6)/(5^{-4)} ?

The solution to factor (2^8*3^6)/(5^{-4)} is 116640000

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (2^8*3^6)/(5^{-4)}

factor

\frac{2 ^{8} \cdot 3 ^{6}}{5 ^{- 4}}

116640000

Solution steps

\frac{2 ^{8} \cdot 3 ^{6}}{5 ^{- 4}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

5^{- 4} = \frac{1}{5 ^{4}}

= \frac{2 ^{8} \cdot 3 ^{6}}{\frac{1}{5 ^{4}}}

Apply the fraction rule:

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

= \frac{2 ^{8} \cdot 3 ^{6} \cdot 5 ^{4}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 2^{8} \cdot 3^{6} \cdot 5^{4}

2^{8} = 256

= 3^{6} \cdot 5^{4} \cdot 256

3^{6} = 729

= 5^{4} \cdot 256 \cdot 729

5^{4} = 625

= 256 \cdot 729 \cdot 625

Multiply the numbers:

256 \cdot 729 \cdot 625 = 116640000

= 116640000

\frac{x - 2}{4} \geq - 1

x + 26 = x (x + 2) 2

3 (x - 4)^{2} = 15

4 x + 7 \leq 8 x + 5

83.52

What is factor (2^8*3^6)/(5^{-4)} ?
The solution to factor (2^8*3^6)/(5^{-4)} is 116640000