Question 58 5-89-5-84-5-84

False Here, ( 5/8 )^9÷ ( 5/8 )^4= ( 5/8 )^9 4 = ( 5/8 )^5 Hence,( 5/8 )^9÷ ( 5/8 )^4≠ ( 5/8 )^4 ...

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Standard VIII

Mathematics

Simplification of an Expression

Question 58 5...

Question

Question 58
${(\frac{5}{8})}^{9} \div {(\frac{5}{8})}^{4} = {(\frac{5}{8})}^{4}$

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Solution

False
Here, ${(\frac{5}{8})}^{9} \div {(\frac{5}{8})}^{4} = {(\frac{5}{8})}^{9 - 4} = {(\frac{5}{8})}^{5}$
Hence, ${(\frac{5}{8})}^{9} \div {(\frac{5}{8})}^{4} \neq {(\frac{5}{8})}^{4}$

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Similar questions

Q. Find the value of :
a) -392+ (-5)+ (-8)+ (-15)
b) -137 + 854 —84+ 506
c) subtract (-89) from (-54)
d) 389+ (54) —774+ (-39)

Question 84 (f)

Simplify and express each of the following in exponential form.
$(5^{15} \div 5^{10}) \times 5^{5}$

\frac{5 x + 8}{4 - x} < 2

Simplify:

(i) $(16^{\frac{- 1}{5}})^{\frac{5}{2}}$

(ii) $\sqrt[5]{(32)^{- 3}}$

(iii) $\sqrt[3]{(343)^{- 2}}$

(iv) $(0.001)^{\frac{1}{3}}$

(v) $\frac{(25)^{\frac{3}{2}} \times (243)^{\frac{3}{5}}}{(16)^{\frac{5}{4}} \times (8)^{\frac{4}{3}}}$

(vi) ${(\frac{\sqrt{2}}{5})}^{8} \div {(\frac{\sqrt{2}}{5})}^{13}$

(vii) ${(\frac{5^{- 1} \times 7^{2}}{5^{2} \times 7^{- 4}})}^{\frac{7}{2}} \times {(\frac{5^{- 2} \times 7^{3}}{5^{3} \times 7^{- 5}})}^{\frac{- 5}{2}}$

Question 5(i)
Show that:
$(3 x + 7)^{2} - 84 x = (3 x - 7)^{2}$

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Simplification of an Expression

Standard VIII Mathematics

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Question 58 (58)9÷(58)4=(58)4

False Here, (58)9÷(58)4=(58)9−4=(58)5 Hence,(58)9÷(58)4≠(58)4

Question 58
${(\frac{5}{8})}^{9} \div {(\frac{5}{8})}^{4} = {(\frac{5}{8})}^{4}$

False
Here, ${(\frac{5}{8})}^{9} \div {(\frac{5}{8})}^{4} = {(\frac{5}{8})}^{9 - 4} = {(\frac{5}{8})}^{5}$
Hence, ${(\frac{5}{8})}^{9} \div {(\frac{5}{8})}^{4} \neq {(\frac{5}{8})}^{4}$