en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3x^2)^5

Solution

simplify

(3 x^{2})^{5}

Solution

243 x^{10}

Solution steps

(3 x^{2})^{5}

Apply exponent rule:

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

(3 x^{2})^{5} = 3^{5} (x^{2})^{5}

= 3^{5} (x^{2})^{5}

3^{5} = 243

= 243 (x^{2})^{5}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{2})^{5} = x^{2 \cdot 5}

= 243 x^{2 \cdot 5}

Multiply the numbers:

2 \cdot 5 = 10

= 243 x^{10}

Popular Examples

simplify 42*6 simplify

42 \cdot 6

expand (x+4)*(x-4)expand

(x + 4) \cdot (x - 4)

simplify sqrt(121/169)simplify

\frac{121}{169}

simplify log_{10}(sqrt(a^7b^{16)})simplify

lo g_{10} (a^{7} b^{16})

simplify ((y^5)^{-2})/((y^3*y^4)^3)simplify

\frac{( y ^{5} ) ^{- 2}}{( y ^{3} \cdot y ^{4} ) ^{3}}

Frequently Asked Questions (FAQ)

What is (3x^2)^5 ?
The solution to (3x^2)^5 is 243x^{10}