Question

To get the product ${\left(36\right)}^{-1}$ with what number should ${\left(6\right)}^{-1}$ be multiplied?

• A. $\frac{1}{36}$
• B. $-\frac{1}{6}$
• C. $-\frac{1}{36}$
• D. $\frac{1}{6}$

Answer 1

Answer: (D)

$\frac{1}{6}$

${\left(6\right)}^{-1}=\frac{1}{6}$
Hence, $\frac{1}{6}\times \frac{1}{6}=\frac{1}{36}$$={\left(36\right)}^{-1}$

Hence, $(6{)}^{-1}$ should be multiplied to $(6{)}^{-1}$ to get $(36{)}^{-1}$