How do you simplify ${(\frac{49}{16})}^{- \frac{3}{2}}$ $(49/16)^(-3/2)$ ?

Question

How do you simplify ${(\frac{49}{16})}^{- \frac{3}{2}}$ $(49/16)^(-3/2)$ ?

1 Answer

Impact of this question

1719 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-10-01T22:25:28

It is ${(\frac{49}{16})}^{- \frac{3}{2}} = {[{(\frac{7}{4})}^{2}]}^{- \frac{3}{2}} = {(\frac{7}{4})}^{2 \cdot (- \frac{3}{2})} = {(\frac{7}{4})}^{- 3}$ $(49/16)^(-3/2)=[(7/4)^2]^(-3/2)=(7/4)^(2*(-3/2))=(7/4)^(-3)$

Science

Math

Humanities

... and beyond

How do you simplify ${(\frac{49}{16})}^{- \frac{3}{2}}$ $(49/16)^(-3/2)$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you simplify (49/16)^(-3/2)(4916)−32(49/16)^(-3/2)?

1 Answer

Related questions

Impact of this question

How do you simplify ${(\frac{49}{16})}^{- \frac{3}{2}}$ $(49/16)^(-3/2)$ ?