Question

Simplify ((-3/4)^5)^2?

Answer 1

Explanation:

`\bigg[ \bigg( - (3)/(4) \bigg) ^(5) \bigg]^(2) \\ \\ = \bigg[ - (3 ^(5) )/(4 ^(5) ) \bigg]^(2) \\ \\ = \bigg[ - (243)/(1024) \bigg]^(2) \\ \\ = (243^(2) )/(1024^(2) ) \\ \\ = (59,049)/(1,048,576) \\ \\ = 0.0563135147 \\ \\ = 0.06`

Answer 2

59049/1048576

Explanation:

So, with -3/4^5, we have

-3/4*-3/4*-3/4*-3/4*-3/4

This simplifies to,

-243/1024.

This squared, then gives us

(-243/1024)*(-243/1024)

This gives us

59049/1048576.