Question

(125*x^3) / (5^-3*25*x^-6)​

Answer 1

Answer:

Step-by-step explanation:

Use law of exponents a  

−m

=  

a  

m

 

1

​  

 and  

a  

m

÷a  

n

=(a)  

m−n

 

⇒  

5  

−3

×25×x  

−6

 

125×x  

−3

 

​  

=  

5  

−3

×5  

2

×x  

−6

 

5  

3

×x  

−3

 

​  

 

=5  

3

×5  

3

×5  

−2

×x  

−3

×x  

6

 

And using a  

m

×a  

n

=a  

m+n

 

=5  

4

×x  

3

 

=5×5×5×5×x  

3

=625x  

3

 

⇒  

5  −3 ×25×x  −6

 

125×x  

−3

 

​  

=625x  3