Question

what is the simplified form of the expression
(m^-1m^5/m^-2)^-3

Answer 1

when multiplying same variables that have exponents,
the exponents add

so for example, x^-2 x^7 = x^(-2+7) = x^5

Answer 2

so (m^4 /m^-2)^-3

Answer 3

yep :)
then when dividing same variables that have exponents
the exponents subtract

so for example, x^5 / x^-3 = x^(5-(-3)) = x^(5+3) = x^8

Answer 4

(m^6)^-3

Answer 5

yep :)
then when a variable with an exponent is raised to another exponent,
the exponents multiply

so for example, (x^2)^-4 = x^(2*(-4)) = x^-8

Answer 6

m^-18

Answer 7

yep :)
then there is a general rule that teachers don't like negative exponents
so when there are negative exponents, they flip...

so like x^-1 = 1/ x^1
and 1/x^-2 = x^2

Answer 8

Okay so the answer would be 1/m^18?

Answer 9

correct :)

Answer 10

Thank you so much that was soooo helpful!!! ::D

Answer 11

You're Welcome :)