Question 84 (a)

Simplify and express each fo the following in exponential form.
$[{(\frac{3}{7})}^{4} \times {(\frac{3}{7})}^{5}] \div {(\frac{3}{7})}^{7}$

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Solution

We have
$[{(\frac{3}{7})}^{4} \times {(\frac{3}{7})}^{5}] \div {(\frac{3}{7})}^{7} = {(\frac{3}{7})}^{4 + 5} \div {(\frac{3}{7})}^{7} = {(\frac{3}{7})}^{9} \div {(\frac{3}{7})}^{7} = \frac{{(\frac{3}{7})}^{9}}{{(\frac{3}{7})}^{7}} = {(\frac{3}{7})}^{9 - 7} = {(\frac{3}{7})}^{2}$

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Question 84 (e)

Simplify and express each of the following in exponential form.
$[{(\frac{3}{5})}^{3} \times {(\frac{3}{5})}^{8}] \div [{(\frac{3}{5})}^{2} \times {(\frac{3}{5})}^{4}]$

Question 84 (c)

Simplify and express each of the following in exponential form.
$(3^{7} \div 3^{5})^{4}$

Question 84 (d)

Simplify and express each fo the following exponential form.
$(\frac{a^{6}}{a^{4}}) \times a^{5} \times a^{0}$

Q. Question 2(v)
Simplify and express each of the following in exponential form:
(v)

\frac{3^{7}}{3^{4} \times 3^{3}}

Q. Question 2(iii)
Simplify and express each of the following in exponential form:
(iii)

25^{4} \div 5^{3}

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Exponents with Like Bases

Standard VII Mathematics

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Question 84 (a) Simplify and express each fo the following in exponential form. [(37)4×(37)5]÷(37)7

We have [(37)4×(37)5]÷(37)7=(37)4+5÷(37)7=(37)9÷(37)7=(37)9(37)7=(37)9−7=(37)2

Question 84 (a)

Simplify and express each fo the following in exponential form.
$[{(\frac{3}{7})}^{4} \times {(\frac{3}{7})}^{5}] \div {(\frac{3}{7})}^{7}$

We have
$[{(\frac{3}{7})}^{4} \times {(\frac{3}{7})}^{5}] \div {(\frac{3}{7})}^{7} = {(\frac{3}{7})}^{4 + 5} \div {(\frac{3}{7})}^{7} = {(\frac{3}{7})}^{9} \div {(\frac{3}{7})}^{7} = \frac{{(\frac{3}{7})}^{9}}{{(\frac{3}{7})}^{7}} = {(\frac{3}{7})}^{9 - 7} = {(\frac{3}{7})}^{2}$