Question

a^14/3 x a^5/6=

Use the law of exponents to simplify

Answer 1

\[x^n\times x^m=x^{n+m}\]

Answer 2

the exponents are fractions what do i do

Answer 3

to add these fractions
\[\frac{14}3+\frac{5}{6}\]
convert the first fraction to 6ths

Answer 4

16/6+5/6

Answer 5

\[\frac{14}3=\frac{14}3\times1=\frac{14}3\times\frac22=\frac{14\times2}{3\times2}\]

Answer 6

28/6+5/6

Answer 7

33/6

Answer 8

Yes!

Answer 9

so what is your final answer?

Answer 10

11/2

Answer 11

yeahs,
so a^(14/3) * a^(5/6) =

Answer 12

11/2

Answer 13

\[\large a^{8/3} \times a^{5/6}=a^{(14/3+5/6)}\\
\large\qquad\qquad=a^{(28/6+5/6)}\\\large\qquad\qquad=a^{(28+5)/6}\\\large\qquad\qquad=a^{33/6}\\\large\qquad\qquad=a^{11/6}\]