What is (0.5n^5)^2(10n^7)^3 ?

The solution to (0.5n^5)^2(10n^7)^3 is 250n^{31}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (0.5n^5)^2(10n^7)^3

simplify

(0.5 n^{5})^{2} (10 n^{7})^{3}

250 n^{31}

Solution steps

(0.5 n^{5})^{2} (10 n^{7})^{3}

Simplify

(0.5 n^{5})^{2} : 0.25 n^{10}

= 0.25 n^{10} (10 n^{7})^{3}

Simplify

(10 n^{7})^{3} : 1000 n^{21}

= 0.25 n^{10} \cdot 1000 n^{21}

Multiply the numbers:

0.25 \cdot 1000 = 250

= 250 n^{10} n^{21}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

n^{10} n^{21} = n^{10 + 21}

= 250 n^{10 + 21}

Add the numbers:

10 + 21 = 31

= 250 n^{31}

4 + ∣ 2 x - 7 ∣ = 14

a + 8 = 9 \cdot 3 - 10

\frac{8}{9} \cdot \frac{4}{7}

75 x^{3} - 27 x

\frac{40 !}{4 ! ( 40 - 4 ) !}