Maharashtra Board Solutions for Exercise 4: Practice Set 29

Write ${\left(3^4\right)}^{-2}$ in to simplified index form.

Write ${\left(6^5\right)}^4$ into simplified form as power of existing base.

The simplified form as power of existing base of ${\left[{\left(\frac{3}{4}\right)}^6\right]}^1$ is ${\left(\frac{3}{4}\right)}^k$. Then the value of $k=?$

The simplified form as power of existing base of ${\left[{\left(\frac{2}{5}\right)}^{-3}\right]}^2$ is ${\left(\frac{2}{5}\right)}^k$. Then, the value of $k=?$

${\left(\frac{2}{7}\right)}^{-2}$ written with positive indices is ${\left(\frac{p}{q}\right)}^x$. What is $\frac{p}{q}$?

The value of ${\left(\frac{11}{3}\right)}^{-5}$ with positive indices is ${\left(\frac{3}{11}\right)}^k$. Write the value of $k$

The value of ${\left(\frac{1}{6}\right)}^{-3}$ with positive indices is ${\left(\frac{6}{1}\right)}^k$. Write the value of $k$

The value of ${\left(y\right)}^{-4}$ using positive indices is $\frac{1}{{\left(y\right)}^k}$. Write the value of $k$