Simplifying exponential expressions Quiz 1

Question 1

Solve $$\dfrac{{10{p^5}{q^2}{r^4}}}{{25{p^3}{q^3}{r^4}}} = ?$$

Accepted Answer

$$\dfrac{{2{p^2}}}{{5q}}$$

Answer

$$\dfrac{{2p{s^2}}}{{5q}}$$

Answer

$$\dfrac{{2{p^2}r}}{{5q}}$$

Answer

$$\dfrac{{2{p^2}r}}{{5s}}$$

Question 2

Find the value of $${\left( { - 32{y^{10}}} \right)^{\frac{1}{5}}}$$

Accepted Answer

$$ - 2{y^2}$$

Answer

$$ - 2{y^5}$$

Answer

$$ - 2{y^7}$$

Answer

$$ - 3{y^5}$$

Question 3

The value of $$\dfrac{{{{\left( { - 3{x^{ - 4}}} \right)}^{ - 3}}}}{{{y^{ - 2}}}}$$

Accepted Answer

$$ - \dfrac{{{x^{12}}{y^2}}}{{27}}$$

Answer

$$\dfrac{{{x^{10}}{y^2}}}{{27}}$$

Answer

$$\dfrac{{{x^{12}}{y^2}}}{{27}}$$

Answer

$$ - \dfrac{{{x^{10}}{y^2}}}{{27}}$$

Question 4

From the following options, find the value of $${\left( {3{x^{ - 2}}y} \right)^2}{\left( {2x{y^{ - 3}}} \right)^4}$$

Accepted Answer

$$\dfrac{{144}}{{{y^{10}}}}$$

Answer

$$\dfrac{{144}}{{{y^{ - 10}}}}$$

Answer

$$\dfrac{{120}}{{{y^{20}}}}$$

Answer

$$\dfrac{{120}}{{{y^{ - 20}}}}$$

Question 5

Simplify $$\dfrac{{{x^5}}}{{{x^2}}} + \dfrac{{{x^1}}}{{{x^7}}}$$

Accepted Answer

$$1 + \dfrac{1}{{{x^6}}}$$

Answer

$$\dfrac{1}{{{x^6}}}$$

Answer

$$1 + \dfrac{1}{{{x^5}}}$$

Answer

$$\dfrac{1}{{{x^5}}}$$