How do you simplify $(8^(-1/2))^(-2/3)$ ?

Question

1971 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-16T16:26:50

$(8^(-1/2))^(-2/3)=2$

As $(a^m)^n=a^(mxxn)$

$(8^(-1/2))^(-2/3)$

= $8^((-1/2)xx(-2/3))$

= $8^(1/3)$

but $8=2^3$ , hence above is equal to

= $(2^3)^(1/3)$

= $2^(3xx1/3)$

= $2^1=2$

How do you simplify (8^(-1/2))^(-2/3)(8^(-1/2))^(-2/3)?