Question

EXPRESS in power notation

1. -1/8
2. -64/27
Express in rational number
1. (-3/2)
2. (1/5)
simplify (-4/3)³(2/5)-⁴ ÷ (7/4) ​

Answer 1

Solution given:

1:

-1/8=
`(-1³)/(2³)=((-1³)/(2³)=-1³*2^(-3)=-2^(-3)`

2. -64/27

=
`(-4^(3))/(3³)=(-4³)/(3³)=((-4)/(3))^(3)`

Express in rational number

1. (-3/2)=-3/2*2/2=-(3*2)*(2/2)=-6/4

2. (1/5)=1/5*5/5=5/25

and

(-4/3)³(2/5)-⁴ ÷ (7/4)

(-4³/3³)(2-⁴/5-⁴)÷7/4

(-64/27)(5⁴/2⁴)÷7/4

(-64/27)(625/16)÷7/4

(-64*625/(27*16))*4/7

-2500/27*4/7

-10000/169

(-100/13)²