What is 1/2 a^6b^4c^8entre 4/3 a^2bc ?

The solution to 1/2 a^6b^4c^8entre 4/3 a^2bc is (2e^2a^8b^5nc^9tr)/3

simplify 1/2 a^6b^4c^8entre 4/3 a^2bc

simplify

\frac{1}{2} a^{6} b^{4} c^{8} e n t re \frac{4}{3} a^{2} b c

\frac{2 e ^{2} a ^{8} b ^{5} n c ^{9} t r}{3}

Solution steps

\frac{1}{2} a^{6} b^{4} c^{8} e n t re \frac{4}{3} a^{2} b c

Apply exponent rule:

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

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

= \frac{1}{2} b^{4} c^{8} e n t re \frac{4}{3} a^{6 + 2} b c

Add the numbers:

6 + 2 = 8

= \frac{1}{2} b^{4} c^{8} e n t re \frac{4}{3} a^{8} b c

Apply exponent rule:

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

b^{4} b = b^{4 + 1}

= \frac{1}{2} c^{8} e n t re \frac{4}{3} a^{8} b^{4 + 1} c

Add the numbers:

4 + 1 = 5

= \frac{1}{2} c^{8} e n t re \frac{4}{3} a^{8} b^{5} c

Apply exponent rule:

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

ee = e^{1 + 1}

= \frac{1}{2} c^{8} n t r e^{1 + 1} \frac{4}{3} a^{8} b^{5} c

Add the numbers:

1 + 1 = 2

= \frac{1}{2} c^{8} n t r e^{2} \frac{4}{3} a^{8} b^{5} c

Apply exponent rule:

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

c^{8} c = c^{8 + 1}

= \frac{1}{2} n t r e^{2} \frac{4}{3} a^{8} b^{5} c^{8 + 1}

Add the numbers:

8 + 1 = 9

= \frac{1}{2} n t r e^{2} \frac{4}{3} a^{8} b^{5} c^{9}

Multiply fractions:

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

= \frac{1 \cdot 4 n t r e ^{2} a ^{8} b ^{5} c ^{9}}{2 \cdot 3}

Refine

= \frac{4 e ^{2} a ^{8} b ^{5} n c ^{9} t r}{6}

Cancel the common factor:

2

= \frac{2 e ^{2} a ^{8} b ^{5} n c ^{9} t r}{3}

s im pl i f y 20 t e^{- 10} \cdot 100

s im pl i f y \frac{5}{x} \cdot \frac{2}{y}

s im pl i f y e^{- (0.25)^{2}}

s im pl i f y e^{- 6.66}

s im pl i f y (3.2 \cdot 1 0^{6}) (2 \cdot 1 0^{9})

What is 1/2 a^6b^4c^8entre 4/3 a^2bc ?
The solution to 1/2 a^6b^4c^8entre 4/3 a^2bc is (2e^2a^8b^5nc^9tr)/3