find the value of m in ((-8)²)³ = (-8)² m
Answers
Answered by
0
Answer:
One of the laws of indices states:
x
m
n
=
n
√
(
x
m
)
=
(
n
√
x
)
m
Therefore
8
2
3
can be written as
3
√
(
8
2
)
or
(
3
√
8
)
2
I prefer to use the second form because it uses smaller numbers - the root is found first and then that is squared.
3
√
8
=
2
and
2
2
=
4
So:
(
3
√
8
)
2
=
2
2
=
4
Consider a question such as
32
3
5
5
√
(
32
3
)
would mean finding
32
3
first ... ouch!
(
5
√
32
)
3
would mean finding
5
√
32
first. That is
2
(
5
√
32
)
3
=
2
3
=
8
Answered by
1
Answer:
m=4096
Step-by-step explanation:
L.H.S:
- (-8)×(-8)=64
- 64×64×64=262144
R.H.S
- (-8)×(-8)m=64m
L.H.S=R.H.S
262144=64m
- m=262144÷64
- m=4096
ANSWER:4096
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