Simplify (125x-³y6) 2/3 help im gonna fail in my exam
Answers
Answer:
Step-by-step explanation:
(
125
x
)
2
3
=
(
125
2
3
⋅
x
2
3
)
=
(
5
2
⋅
x
2
3
)
=
(
25
⋅
x
2
3
)
Explanation:
(
125
x
)
2
3
says:
( remember that
(
125
x
)
2
3
=
(
(
125
x
)
2
)
1
3
)
125x multiplied by itself twice(because of the 2 exponent) (i'll say that in math: (125x)^(2) ) then all that multiplied by itself 1/3 times (aka taking the cube root of that)
(
125
x
)
2
=
15625
⋅
x
2
now for cube root:
(
15625
⋅
x
2
)
1
3
(
15625
2
3
⋅
x
2
3
)
25
⋅
x
2
3
you could've also instead of squaring first, then taking the cube root,
you could've of cube rooted first, then squared,
or:
you could've done both at the same time: (which is what you see in the awnser up top)
Answer:
(125x
−3
)
3
1
=(125)
3
1
x
−3×
3
1
=(5×5×5)
3
1
x
−1
=(5
3
)
3
1
x
1
=5
−1
=
x
5
=5x
−1