Question

the value of (‐2/3)⁴ is eqal to​

Answer 1

Answer:

-2/3*-2/3*-2/3*-2/3

Step-by-step explanation:

-2/3*-2/3*-2/3*-2/3

16/81

Answer 2

Powers and Exponents

As we know that $(\frac{x}{y}) ^4=\frac{x^4}{y^4}$

Here , $x=-2 \ and \ y =3$

So, $(\frac{-2}{3} )^4=\frac{-2\times(-2)\times\(- 2)\times (-2)}{3\times3\times3\times3}=\frac{16}{81}$

Hence, the value of given expression is $\frac{16}{81}$.

Note:

There are other rules that are followed in powers and exponents:

• $\frac{x^m}{x^n}=x^{m-n}$
• $x^m\times x^n= x^{m+n}$
• $(x^m)^n=x^{m\times\ n}$
• $x^{-n}=\frac{1}{x^n}$
• $x^0=1$
• $x^m\times y^n=(xy)^m$