en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1/2 t^2)^2

Solution

simplify

(\frac{1}{2} t^{2})^{2}

Solution

\frac{t ^{4}}{4}

Solution steps

(\frac{1}{2} t^{2})^{2}

Apply exponent rule:

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

(\frac{1}{2} t^{2})^{2} = (\frac{1}{2})^{2} (t^{2})^{2}

= (\frac{1}{2})^{2} (t^{2})^{2}

(\frac{1}{2})^{2} = \frac{1}{4}

= \frac{1}{4} (t^{2})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(t^{2})^{2} = t^{2 \cdot 2}

= \frac{1}{4} t^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{1}{4} t^{4}

Simplify

\frac{1}{4} t^{4} : \frac{t ^{4}}{4}

= \frac{t ^{4}}{4}

Popular Examples

simplify (c^2-6d^2)+(c^2-2cd+2d^2)simplify

(c^{2} - 6 d^{2}) + (c^{2} - 2 c d + 2 d^{2})

factor pq^2-rq^2+r-p factor

p q^{2} - r q^{2} + r - p

12 - x > 5

-6(u+1)+8u=2(u-3)

- 6 (u + 1) + 8 u = 2 (u - 3)

(x - 3)^{2} - 81 = 0

Frequently Asked Questions (FAQ)

What is (1/2 t^2)^2 ?
The solution to (1/2 t^2)^2 is (t^4)/4