What is ((10p^4)/(6p))^2 ?

The solution to ((10p^4)/(6p))^2 is (25p^6)/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((10p^4)/(6p))^2

simplify

(\frac{10 p ^{4}}{6 p})^{2}

\frac{25 p ^{6}}{9}

Solution steps

(\frac{10 p ^{4}}{6 p})^{2}

Apply exponent rule:

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

= \frac{( 10 p ^{4} ) ^{2}}{( 6 p ) ^{2}}

Simplify

(10 p^{4})^{2} : 100 p^{8}

= \frac{100 p ^{8}}{( 6 p ) ^{2}}

Simplify

(6 p)^{2} : 36 p^{2}

= \frac{100 p ^{8}}{36 p ^{2}}

Cancel the common factor:

4

= \frac{25 p ^{8}}{9 p ^{2}}

Apply exponent rule:

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

\frac{p ^{8}}{p ^{2}} = p^{8 - 2}

= \frac{25 p ^{8 - 2}}{9}

Subtract the numbers:

8 - 2 = 6

= \frac{25 p ^{6}}{9}

3.5 (\frac{5 π}{3})

1 + \frac{0.06}{12}

\frac{x - 7}{2 x + 5} \geq 1

∣ 8 x - 9 ∣ \geq 1

x^{2} + 14 x + 44 = 0