Question

By what number should (– 3)4 be multiplied so that the product is 729?


step by step explanation in the paper

Answer 1

Answer:

The correct option is A 310

Let the number be X.

⟹3−4×X=729 

 we can write 729 as 

  3729324338132739331 

729=3×3×3×3×3×3=36

Now putting 36 in place of 729

 ⟹3−4×X=36 

⟹X=363−4 

By the Laws of Exponents, we know that

aman=am−n

⟹X=363−4=36−(−4)=36+4=310  

So the number to be multiplied by 3−4 is 310 so that the product is 729.