Question

Help me

Answer 1

\[\frac{ 5^{8} }{ \left( 5^{-4^{}} \right) }\]

Answer 2

outside the parenthesis there is a negative 3

Answer 3

do you mean it is:
\[\frac{ 5^8 }{ (5^-4) } (3) \]

Answer 4

i meant a -3

Answer 5

its above the parenthesis

Answer 6

\[\frac{ 5^8 }{ (5^{-4})^{3} }\]

Answer 7

yea

Answer 8

but of course with a -3

Answer 9

yes.

Answer 10

first you do the numerator, which is 5^8.

Answer 11

ok

Answer 12

390625

Answer 13

then you do 5^-4

Answer 14

1/625

Answer 15

@calculusxy

Answer 16

@geerky42

Answer 17

Looks good.

Answer 18

what about the -3 outside the parenthesis?

Answer 19

Oh, Let go back to beginning.

Now there are few exponent laws you need to know:
\[(x^a)^b = x^{ab}\\~\\x^{-n} = \dfrac{1}{x^n}\] Likewise, \(\dfrac{1}{x^{-n}}=x^n\)

Answer 20

So in denominator, what is \((5^{-4})^{-3}\)?

Answer 21

Forgot one more law: \(\dfrac{x^m}{x^n} = x^{m-n}\)

Answer 22

thx