Question

simplify
625^-3/4

Answer 1

625=25*25

Answer 2

25=5^2
625=(5^2)*(5^2)

Answer 3

you know what to do next

Answer 4

as base is same power will add

Answer 5

(5^2*5^2)^(-3/4)

Answer 6

tell me what u got?

Answer 7

(5^4)^-3/4?

Answer 8

yes. notice you can use this rule
\[ \left( a^b\right)^c = a^{b\cdot c} \]
in other words you can multiply your two exponents to simplify

then use this rule
\[ a^{-b} = \frac{1}{a^b} \]
in other words, "flip" the fraction and change the sign of the exponent

Answer 9

so what's the answer?