Generate an equivalent expression:

[torpid hemlock]

someone help pleaseee ;')

[eternal moss]

do you know basic properties of exponents?

[torpid hemlock]

no i didnt focus in math for like the past 5 years 😭

i kinda remember them but i forgot the names

[eternal moss]

the exponent of an exponent is multiplying the two together

for example: x^x^2

is x^2x

[torpid hemlock]

ok kinda makes sense

[eternal moss]

so what would be ((4/5)^2)^3?

wait

the two expressions have the same base

[torpid hemlock]

yes

[eternal moss]

continue

[torpid hemlock]

OHHHHHH

wait

so

so

so

wait

so

what i go with

[eternal moss]

what would the exponent of (4/5)^2 be?

[torpid hemlock]

do*

[eternal moss]

when the two are combined?

[torpid hemlock]

4x2/5?

is that a no

[eternal moss]

no

ok

to make this easier to look at

lets say that (4/5)^2 is x

so now this expression is

x^3*x^1

do you know how to simplify that?

[torpid hemlock]

x4^

no

yes

maybe

[eternal moss]

x^4?

yes that is correct

[torpid hemlock]

oh

awesome!

[eternal moss]

now plug in (4/5)^2 for x

remember that exponents of exponents is multiply

[torpid hemlock]

yes

[eternal moss]

do you have the answer now?

[torpid hemlock]

(4/5)^6??

wait no

[eternal moss]

no

[torpid hemlock]

nononononno

[eternal moss]

what's 2*4

[torpid hemlock]

8

[eternal moss]

yes

that is the exponent

[torpid hemlock]

OHHHHH

OHHHHHHHHH

[eternal moss]

the answer is (4/5)^8

[torpid hemlock]

thank you so very much

[eternal moss]

got it?

[torpid hemlock]

yes!

[eternal moss]

you're welcome :)