Question

Please solve the question in the attachment abovethanks in advance​

Answer 1

Answer:

2$^{-\frac{19}{2} }$

Step-by-step explanation:

Given expression:

        (√4)⁻⁷  x (√2)⁻⁵

To solve this problem, we are going to use some rules of exponent;

      (√4)⁻⁷  x (√2)⁻⁵  

               4  = 2²

 =  (√2²)⁻⁷  x  (√2)⁻⁵

            √x² = x $^{2x \frac{1}{2} }$

= (  2$^{2x\frac{1}{2} }$) ⁻⁷  x (2$^{\frac{1}{2 }$)⁻⁵

=  2⁻⁷  x  2$-\frac{5}{2}$  

          aˣ  x aⁿ = aˣ⁺ⁿ

 So;

                  2⁻⁷  x  2$-\frac{5}{2}$   = 2$^{-7 + (-\frac{5}{2} )}$  

                                      = 2$^{-7 - \frac{5}{2} }$  

                                      = 2$^{-\frac{19}{2} }$