en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2^015^39^{-4}

Solution

simplify

2^{0} \cdot 1 5^{3} \cdot 9^{- 4}

Solution

\frac{125}{243}

+1

Decimal Notation

0.51440 \dots

Solution steps

2^{0} \cdot 1 5^{3} \cdot 9^{- 4}

Apply exponent rule:

a^{0} = 1, a \neq = 0

2^{0} = 1

= 1 \cdot 1 5^{3} \cdot 9^{- 4}

1 5^{3} = 3375

= 1 \cdot 3375 \cdot 9^{- 4}

Apply exponent rule:

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

9^{- 4} = \frac{1}{9 ^{4}}

= 1 \cdot 3375 \cdot \frac{1}{9 ^{4}}

9^{4} = 6561

= 1 \cdot 3375 \cdot \frac{1}{6561}

Multiply the numbers:

1 \cdot 3375 = 3375

= 3375 \cdot \frac{1}{6561}

= \frac{1}{6561} \cdot 3375

\frac{1}{6561} \cdot 3375 = \frac{125}{243}

= \frac{125}{243}

Popular Examples

simplify (x^2+4x+5)+(3x-3)simplify

(x^{2} + 4 x + 5) + (3 x - 3)

factor 361x^{14}-1 factor

361 x^{14} - 1

simplify 3/5 x simplify

\frac{3}{5} x

simplify |(-6)/(24)|simplify

\frac{- 6}{24}

simplify-7(m-n-2)-3(-m+n-8)simplify

- 7 (m - n - 2) - 3 (- m + n - 8)

Frequently Asked Questions (FAQ)

What is 2^0*15^3*9^{-4} ?
The solution to 2^0*15^3*9^{-4} is 125/243