en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2t^{-3})^{-2}

Solution

simplify

(2 t^{- 3})^{- 2}

Solution

\frac{t ^{6}}{4}

Solution steps

(2 t^{- 3})^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(2 t^{- 3})^{- 2} = \frac{1}{( 2 t ^{- 3} ) ^{2}}

= \frac{1}{( 2 t ^{- 3} ) ^{2}}

Simplify

(2 t^{- 3})^{2} : \frac{4}{t ^{6}}

= \frac{1}{\frac{4}{t ^{6}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{t ^{6}}{4}

Popular Examples

expand (3x-1)(x^2+4x-5)expand

(3 x - 1) (x^{2} + 4 x - 5)

simplify 36\times 2 simplify

36 \times 2

simplify (x+2)^3-2(4x^2+6x)+2x^2 simplify

(x + 2)^{3} - 2 (4 x^{2} + 6 x) + 2 x^{2}

expand (-6d+6)(2d-2)expand

(- 6 d + 6) (2 d - 2)

simplify (x^2-8x+15)/(x^2-6x+5)simplify

\frac{x ^{2} - 8 x + 15}{x ^{2} - 6 x + 5}

Frequently Asked Questions (FAQ)

What is (2t^{-3})^{-2} ?
The solution to (2t^{-3})^{-2} is (t^6)/4