What is (7/4 a^6b^8c^2)(2/3 a^2b^5c) ?

The solution to (7/4 a^6b^8c^2)(2/3 a^2b^5c) is (7a^8b^{13}c^3)/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (7/4 a^6b^8c^2)(2/3 a^2b^5c)

simplify

(\frac{7}{4} a^{6} b^{8} c^{2}) (\frac{2}{3} a^{2} b^{5} c)

\frac{7 a ^{8} b ^{13} c ^{3}}{6}

Solution steps

(\frac{7}{4} a^{6} b^{8} c^{2}) (\frac{2}{3} a^{2} b^{5} c)

Apply exponent rule:

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

a^{6} a^{2} = a^{6 + 2}

= \frac{7}{4} b^{8} c^{2} \frac{2}{3} a^{6 + 2} b^{5} c

Add the numbers:

6 + 2 = 8

= \frac{7}{4} b^{8} c^{2} \frac{2}{3} a^{8} b^{5} c

Apply exponent rule:

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

b^{8} b^{5} = b^{8 + 5}

= \frac{7}{4} c^{2} \frac{2}{3} a^{8} b^{8 + 5} c

Add the numbers:

8 + 5 = 13

= \frac{7}{4} c^{2} \frac{2}{3} a^{8} b^{13} c

Apply exponent rule:

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

c^{2} c = c^{2 + 1}

= \frac{7}{4} \cdot \frac{2}{3} a^{8} b^{13} c^{2 + 1}

Add the numbers:

2 + 1 = 3

= \frac{7}{4} \cdot \frac{2}{3} a^{8} b^{13} c^{3}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{7 \cdot 2 a ^{8} b ^{13} c ^{3}}{4 \cdot 3}

Refine

= \frac{14 a ^{8} b ^{13} c ^{3}}{12}

Cancel the common factor:

2

= \frac{7 a ^{8} b ^{13} c ^{3}}{6}

e^{- 0.119}

2 e^{t} e^{- t}

(\frac{1}{4})^{\frac{1}{2}} \cdot (0.1)^{- 2}

7.698 \cdot 1 0^{- 3}

What is (7/4 a^6b^8c^2)(2/3 a^2b^5c) ?
The solution to (7/4 a^6b^8c^2)(2/3 a^2b^5c) is (7a^8b^{13}c^3)/6