The equation (m^5/6) (m^1/6) ^7 =m^x what is the value of x that makes the equation true?

Question

asked Feb 19, 2021 4.6k views

1 Answer

Andy White · Answer 1 · 2021-02-24T03:43:24+0000

Answer:

2

Explanation:

We have the equation

m^(5/6)(m^(1/6))^7=m^x

The exponent rules to be used are

a^x* a^y=a^(x+y)

(a^(x))^y=a^(xy)

$m^(5/6)(m)^(7/6)=m^x\\\Rightarrow m^{(5)/(6)+(7)/(6)}=m^x\\\Rightarrow m^{(5+7)/(6)}=m^x\\\Rightarrow m^{(12)/(6)}=m^x\\\Rightarrow m^(2)=m^x$

Comparing the exponents we get

x=2

So, the value of
makes the equation true.