Which is equivalent

Question

asked Jul 16, 2020 134k views

2 Answers

StuartLC · Answer 1 · 2020-07-22T15:47:28+0000

Answer:

A.
9m^(3)

Explanation:

We have been given an exponential expression
$(81m^6)^{(1)/(2)$ . We are asked to choose the option that is equivalent to our given expression.

Using exponent property
$(ab)^n=a^n\cdot b^n$ , we will get:

$(81m^6)^{(1)/(2)}=81^{(1)/(2)}\cdot (m^6)^{(1)/(2)}$

We can write 81 as
9^2 .

$(81m^6)^{(1)/(2)}=(9^2)^{(1)/(2)}\cdot m^{6*(1)/(2)}$

Using exponent property
$(a^m)^n=a^(m\cdot n)$ , we will get:

$(81m^6)^{(1)/(2)}=9^{2*(1)/(2)}\cdot m^{6*(1)/(2)}$

$(81m^6)^{(1)/(2)}=9^(1)\cdot m^(3)$

$(81m^6)^{(1)/(2)}=9m^(3)$

Therefore,
is equivalent to our given expression and option A is the correct choice.