en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2^5*3^{-5}

Solution

simplify

2^{5} \cdot 3^{- 5}

Solution

\frac{32}{243}

+1

Solution steps

2^{5} \cdot 3^{- 5}

2^{5} = 32

= 32 \cdot 3^{- 5}

Apply exponent rule:

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

3^{- 5} = \frac{1}{3 ^{5}}

= 32 \cdot \frac{1}{3 ^{5}}

3^{5} = 243

= 32 \cdot \frac{1}{243}

32 \cdot \frac{1}{243} = \frac{32}{243}

= \frac{32}{243}

Popular Examples

simplify (2a(a+4))/a-(2a(3a-4))/(2a)simplify

\frac{2 a ( a + 4 )}{a} - \frac{2 a ( 3 a - 4 )}{2 a}

cube root of-1000p^{86}q^{90}

simplify 10x^{-2}simplify

10 x^{- 2}

simplify 5\sqrt[3]{243}simplify

expand (m+3n)^2 expand

(m + 3 n)^{2}

Frequently Asked Questions (FAQ)

What is 2^5*3^{-5} ?
The solution to 2^5*3^{-5} is 32/243