Question 84 (c)

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

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Solution

We have, $(3^{7} \div 3^{5})^{4} = {(\frac{3^{7}}{3^{5}})}^{4} = (3^{7 - 5})^{4} = (3^{2})^{4} = 3^{2 \times 4} = 3^{8}$

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

(3^{0} + 2^{0}) \times 5^{0}

Question 84 (a)

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

Q. Question 2(iii)
Simplify and express each of the following in exponential form:
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25^{4} \div 5^{3}

Question 84 (e)

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

Q. Simplify and express each of the following in exponential form:

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

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Simplification of an Expression

Standard VIII Mathematics

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Question 84 (c) Simplify and express each of the following in exponential form. (37÷35)4

We have,(37÷35)4=(3735)4=(37−5)4=(32)4=32×4=38

Question 84 (c)

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

We have, $(3^{7} \div 3^{5})^{4} = {(\frac{3^{7}}{3^{5}})}^{4} = (3^{7 - 5})^{4} = (3^{2})^{4} = 3^{2 \times 4} = 3^{8}$