If p-4 and q=-8 what is the value of p^(3/2)-q^(-2/3)?
2 Answers
Explanation:
information given
- variables
\color(red)(p=4) ,\color(blue)(q=-8) - equation
\color(red)(p)^(3/2)-\color(blue)(q)^(-2/3)
concepts applied
- negative exponent
a^{-b}=1/(a^b) - fractional exponent
a^(b/c)=rootc{a^b} = (rootc a)^b
calculation
- plug-in variable values
\color(red)(4)^(3/2)-\(color(blue)(-8)^(-2/3)) - simplify exponents
\sqrt(4^3)- 1/(root3 {(8^2)}) - simplify again
sqrt(64)-1/root3 64 - simplify all roots
8-1/4 - set all fractional values with equal denominators
32/4-1/4
solution
Nov 21, 2016
Explanation:
color(blue)(p^(3/2)-q^(-2/3)
color(orange)(p=4
color(orange)(q=-8
Let's put the variables in the equation
Apply the formulas