B Simplify -7-11 5 -7-11 2 - -7-11 2

We have [(7/11 )^5 ÷(7/11 )^2 ] ×(7/11 )^2 = [(7/11 )^5/(7/11 )^2 ] ×(7/11 )^2 = (7/11 )^5 2×(7/11 )^2 = (7/11 )^3 ×(7/11 )^2 = (7/11 )^3+2 = (7/11 )^5 ...

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Standard VII

Mathematics

Exponents with Like Bases

b Simplify [7...

Question

Question 84 (b)

Simplify $[{(\frac{7}{11})}^{5} \div {(\frac{7}{11})}^{2}] \times {(\frac{7}{11})}^{2}$

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Solution

We have
$[{(\frac{7}{11})}^{5} \div {(\frac{7}{11})}^{2}] \times {(\frac{7}{11})}^{2} = ⎡ ⎣ \frac{{(\frac{7}{11})}^{5}}{{(\frac{7}{11})}^{2}} ⎤ ⎦ \times {(\frac{7}{11})}^{2} = {(\frac{7}{11})}^{5 - 2} \times {(\frac{7}{11})}^{2} = {(\frac{7}{11})}^{3} \times {(\frac{7}{11})}^{2} = {(\frac{7}{11})}^{3 + 2} = {(\frac{7}{11})}^{5}$

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Exponents with Like Bases

Standard VII Mathematics

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Question 84 (b) Simplify [(711)5÷(711)2]×(711)2

We have [(711)5÷(711)2]×(711)2=⎡⎣(711)5(711)2⎤⎦×(711)2=(711)5−2×(711)2=(711)3×(711)2=(711)3+2=(711)5

Question 84 (b)

Simplify $[{(\frac{7}{11})}^{5} \div {(\frac{7}{11})}^{2}] \times {(\frac{7}{11})}^{2}$