Evaluating Exponents Quiz 1

Question 1

Write the value of $$\left[ {{\left( \dfrac{2}{3} ight)}^{-2}}	imes {{\left( \dfrac{3}{2} ight)}^{2}} ight]\div {{\left( \dfrac{2}{3} ight)}^{5}}$$

Accepted Answer

$${{\left( \dfrac{3}{2} \right)}^{9}}$$

Answer

$${{\left( \dfrac{3}{2} \right)}^{11}}$$

Answer

$${{\left( \dfrac{2}{3} \right)}^{11}}$$

Answer

$${{\left( \dfrac{2}{3} \right)}^{9}}$$

Question 2

Write the sum of $$x$$and $$y$$ where, $$x={{\left( \dfrac{4}{5} ight)}^{2}}	imes {{\left( \dfrac{5}{4} ight)}^{3}}$$and$$y={{\left( \dfrac{2}{9} ight)}^{9}}\div {{\left( \dfrac{2}{3} ight)}^{4}}$$.

Accepted Answer

$$\dfrac{1343}{972}$$

Answer

$$\dfrac{1715}{1912}$$

Answer

$$\dfrac{1625}{972}$$

Answer

$$\dfrac{1215}{968}$$

Question 3

Write the value of p if $${{\left( -3 ight)}^{2p+1}}	imes {{\left( -3 ight)}^{3p+2}}=-27$$

Accepted Answer

$$0$$

Answer

$$1$$

Answer

$$2$$

Answer

$$3$$

Question 4

Write the value of the expression $$\dfrac{{{\left( {{t}^{f+g}} ight)}^{3}}	imes {{\left( {{t}^{g+h}} ight)}^{3}}	imes {{\left( {{t}^{h+f}} ight)}^{3}}}{\left( {{t}^{2f}}	imes {{t}^{2g}}	imes {{t}^{2h}} ight)}$$

Accepted Answer

$${{t}^{4f+4g+4h}}$$

Answer

$${{t}^{2g+2f+2h}}$$

Answer

$${{t}^{3g+3f+3h}}$$

Answer

$${{t}^{6f+6g+6h}}$$

Question 5

If $${{\left( -9 \right)}^{y}}=6561$$ and$${{\left( 6 \right)}^{m}}=1296$$, then write the value of $$2y+3m$$.

Accepted Answer

$$20$$

Answer

$$30$$

Answer

$$40$$

Answer

$$50$$