Question

Cuanto me da como resultado

Answer 1

Explanation:

1)
`(-4)^2{\cdot}(-4)`

We know that,
`a^x{\cdot}a^y=a^(x+y)`

`(-4)^2{\cdot}(-4)=(-4)^(2+1)\\\\=(-4)^3\\\\=64`

2)
`(-2)^5{\cdot} (-2)^3`

Again using above property,

`(-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256`

3)
`5^(-3)`

We know that,

`a^(-x)=(1)/(a^x)`

So,

`5^(-3)=(1)/(5^3)\\\\=(1)/(125)`

4)
`2.5^2=2.5* 2.5\\\\=6.25`

Hence, this is the required solution.