en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3p^7)^4

Solution

simplify

(3 p^{7})^{4}

Solution

81 p^{28}

Solution steps

(3 p^{7})^{4}

Apply exponent rule:

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

(3 p^{7})^{4} = 3^{4} (p^{7})^{4}

= 3^{4} (p^{7})^{4}

3^{4} = 81

= 81 (p^{7})^{4}

Apply exponent rule:

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

assuming

a \geq 0

(p^{7})^{4} = p^{7 \cdot 4}

= 81 p^{7 \cdot 4}

Multiply the numbers:

7 \cdot 4 = 28

= 81 p^{28}

Popular Examples

simplify sqrt(69)simplify

69

simplify 2*10^6 simplify

2 \cdot 1 0^{6}

r^{2} + 18 r + 82 = 0

simplify 4/5*4 simplify

\frac{4}{5} \cdot 4

(2x-15)(5x+16)=0

(2 x - 15) (5 x + 16) = 0

Frequently Asked Questions (FAQ)

What is (3p^7)^4 ?
The solution to (3p^7)^4 is 81p^{28}