en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-6^4*(-1/4)^2

Solution

simplify

- 6^{4} \cdot (- \frac{1}{4})^{2}

Solution

- 81

Solution steps

- 6^{4} (- \frac{1}{4})^{2}

6^{4} = 1296

= - 1296 (- \frac{1}{4})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

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

= - 1296 (\frac{1}{4})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

= - 1296 \cdot \frac{1 ^{2}}{4 ^{2}}

1^{2} = 1

= - 1296 \cdot \frac{1}{4 ^{2}}

4^{2} = 16

= - 1296 \cdot \frac{1}{16}

- 1296 \cdot \frac{1}{16} = - 81

= - 81

Popular Examples

factor (m+2n)^2-3(m+2n)factor

(m + 2 n)^{2} - 3 (m + 2 n)

simplify (x/y)/y simplify

\frac{\frac{x}{y}}{y}

simplify (4x-8)/4 simplify

\frac{4 x - 8}{4}

simplify sqrt(2016)simplify

2016

simplify 27^{-2}simplify

2 7^{- 2}

Frequently Asked Questions (FAQ)

What is simplify-6^4*(-1/4)^2 ?
The solution to simplify-6^4*(-1/4)^2 is -81