Question

Simplify (2^3)^–2 ment to put this

Answer 1

1/64

Explanation:

`\left(2^3\right)^(-2)\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^(bc),\\\left(2^3\right)^(-2)=2^(3\left(-2\right))\\\\3\left(-2\right)=-6\\\\=2^(-6)\\\\=(1)/(2^6)\\\\2^6=64\\\\=(1)/(64)`

Answer 2

`(1)/(64)`

Explanation:

`\left(2^3\right)^(-2)\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^(bc),\:\quad \:a\ge 0\\\left(2^3\right)^(-2)=2^(3\left(-2\right))\\\\3\left(-2\right)=-6\\=2^(-6)\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^(-b)=(1)/(a^b)\\2^(-6)=(1)/(2^6)\\\\2^6=64\\\\=(1)/(64)`