Question

Exponent help

Answer 1

\[\Huge Exponent^{help}\]

Answer 2

\[6^{7} \div 9^{7}\]

Answer 3

i just don't get it

Answer 4

break it into parts.

Answer 5

ok how

Answer 6

128/ 2187 ?

Answer 7

\[\frac{2 \times 3 }{9^7}\]

Answer 8

i have to make it into exponetial form

Answer 9

\[\frac{2}{3^{14-1}}\]

Answer 10

ok and but what about the the 7 exponent

Answer 11

\[\frac{2}{3^{13}}\]

Answer 12

we multiplied it by 2.

Answer 13

Can't you just use a calculator ?

Answer 14

Mini give her your calculator.

Answer 15

i need to know how to do it manually

Answer 16

Like she would want it.
There's no point of knowing how to do it manually since you can use a calculator in exams

Answer 17

LOL.

Answer 18

no luck for me, i can't use a calculator

Answer 19

\[\frac{6^7}{9^7}=\frac{2^7*3^7}{(3^2)^7}\]\[=\frac{2^7*3^7}{3^{14}}\]good so far?

Answer 20

good

Answer 21

the numerator can be rewritten using\[(ab)^n=a^nb^n\]
in the denominator, 9=3^2, then use the expo property\[\left( b^n \right)^m=b^{nm}\]and that is we we are in the problem so far

Answer 22

ok

Answer 23

everything is good here and probably solved, correct?

Answer 24

now if m > n, we have an expo property\[\frac{b^n}{b^m}=\frac{1}{b^{m-n}}\]so in our problem m=14 and n=7 (b=3 of course)\[\frac{2^7*3^7}{3^{14}}=\frac{2^7}{3^{14-7}}=\frac{2^7}{3^7}\]and this is the simplified exponential form; from this point the only thing to do is to simplify the 2^7=128 and the 3^7=2187