en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3y^4)^2

Solution

simplify

(3 y^{4})^{2}

Solution

9 y^{8}

Solution steps

(3 y^{4})^{2}

Apply exponent rule:

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

(3 y^{4})^{2} = 3^{2} (y^{4})^{2}

= 3^{2} (y^{4})^{2}

3^{2} = 9

= 9 (y^{4})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(y^{4})^{2} = y^{4 \cdot 2}

= 9 y^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 9 y^{8}

Popular Examples

simplify 1/(-(sqrt(2))/2)simplify

\frac{1}{- \frac{2}{2}}

∣ 2 x - 5 ∣ + 2 > 5

5 x (x + 6) = - 50

6-3/4 x+1/3 = 1/2 x+5

6 - \frac{3}{4} x + \frac{1}{3} = \frac{1}{2} x + 5

factor a^3+a^2b-ab^2-b^3 factor

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

Frequently Asked Questions (FAQ)

What is (3y^4)^2 ?
The solution to (3y^4)^2 is 9y^8