Question

Question 51

In the following question, fill in the blanks to make the statements true.

By multiplying ${\left(\frac{5}{3}\right)}^4$ by ___ we get $5^4$.

Answer 1

Let x be multiplied with ${\left(\frac{5}{3}\right)}^4$ to get $5^4.$
So, ${\left(\frac{5}{3}\right)}^4\times x=5^4$

$\therefore x=\frac{5^4}{{\left(\frac{5}{3}\right)}^4}=5^4\times 3^4\times 5^{-4}=(5{)}^{4-4}\times 3^4[a^m\times a^n=a^{m+n}]$

$=5^0\times 3^4=3^4$