en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3p^3)^4

Solution

simplify

(3 p^{3})^{4}

Solution

81 p^{12}

Solution steps

(3 p^{3})^{4}

Apply exponent rule:

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

(3 p^{3})^{4} = 3^{4} (p^{3})^{4}

= 3^{4} (p^{3})^{4}

3^{4} = 81

= 81 (p^{3})^{4}

Apply exponent rule:

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

assuming

a \geq 0

(p^{3})^{4} = p^{3 \cdot 4}

= 81 p^{3 \cdot 4}

Multiply the numbers:

3 \cdot 4 = 12

= 81 p^{12}

Popular Examples

simplify (a^{-3})(a^4)simplify

(a^{- 3}) (a^{4})

factor a^2b^2+a^3b^3+a^2b^4 factor

a^{2} b^{2} + a^{3} b^{3} + a^{2} b^{4}

factor x^4+15x^2+36 factor

x^{4} + 15 x^{2} + 36

simplify (n(n+1)}{2*(n\frac{(n+1))/2)^2}simplify

\frac{n ( n + 1 )}{2 \cdot ( n \frac{( n + 1 )}{2} ) ^{2}}

simplify (x^{1/2}*x^{-3})/2 simplify

\frac{x ^{\frac{1}{2}} \cdot x ^{- 3}}{2}

Frequently Asked Questions (FAQ)

What is (3p^3)^4 ?
The solution to (3p^3)^4 is 81p^{12}