Answer :
Answer:
[tex]-8[/tex]
Step-by-step explanation:
Given: [tex](-32)^{(\frac{3}{5}) }[/tex]
To choose: the correct option
Solution:
Power refers to a number of times, a number is multiplied by itself. Another name for power is exponent.
As per rule of exponents, [tex](a^m)^n=a^{mn}[/tex]
Here,
[tex](-32)=(-2)^5[/tex]
Therefore,
[tex](-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }[/tex]
Here, [tex]a=-2,m=5,n=\frac{3}{5}[/tex]
So,
[tex](-32)^{(\frac{3}{5}) }=[(-2)^5]^{(\frac{3}{5}) }=(-2)^{5(\frac{3}{5}) }=(-2)^3=-8[/tex]