en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5x^2y^4)^5

Solution

simplify

(5 x^{2} y^{4})^{5}

Solution

3125 x^{10} y^{20}

Solution steps

(5 x^{2} y^{4})^{5}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(5 x^{2} y^{4})^{5} = 5^{5} (x^{2})^{5} (y^{4})^{5}

= 5^{5} (x^{2})^{5} (y^{4})^{5}

5^{5} = 3125

= 3125 (x^{2})^{5} (y^{4})^{5}

Simplify

(x^{2})^{5} : x^{10}

= 3125 x^{10} (y^{4})^{5}

Simplify

(y^{4})^{5} : y^{20}

= 3125 x^{10} y^{20}

Popular Examples

simplify (42)/(-7)simplify

\frac{42}{- 7}

\frac{42}{18}

expand (k-8)(k+8)expand

(k - 8) (k + 8)

simplify (sqrt(2)-i)-i(1-sqrt(2i))simplify

(2 - i) - i (1 - 2 i)

factor 36u^2-64 factor

36 u^{2} - 64

Frequently Asked Questions (FAQ)

What is (5x^2y^4)^5 ?
The solution to (5x^2y^4)^5 is 3125x^{10}y^{20}