en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3/4 a^5)(8/3 a^2)

Solution

simplify

(\frac{3}{4} a^{5}) (\frac{8}{3} a^{2})

Solution

2 a^{7}

Solution steps

(\frac{3}{4} a^{5}) (\frac{8}{3} a^{2})

Apply exponent rule:

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

a^{5} a^{2} = a^{5 + 2}

= \frac{3}{4} \cdot \frac{8}{3} a^{5 + 2}

Add the numbers:

5 + 2 = 7

= \frac{3}{4} \cdot \frac{8}{3} a^{7}

Multiply fractions:

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

= \frac{3 \cdot 8 a ^{7}}{4 \cdot 3}

Cancel the common factor:

3

= \frac{8 a ^{7}}{4}

Divide the numbers:

\frac{8}{4} = 2

= 2 a^{7}

Popular Examples

simplify e^{-(2.98)/(0.316)}simplify

e^{- \frac{2.98}{0.316}}

simplify 11.5(10^{-6})simplify

11.5 (1 0^{- 6})

simplify 2te^{-2s}u(t-2)simplify

2 t e^{- 2 s} u (t - 2)

simplify-2sqrt(z)sqrt(y)simplify

- 2 z y

simplify (7.929*10^{-3})(250)simplify

(7.929 \cdot 1 0^{- 3}) (250)

Frequently Asked Questions (FAQ)

What is (3/4 a^5)(8/3 a^2) ?
The solution to (3/4 a^5)(8/3 a^2) is 2a^7