Question 3 iSimplify-22-3-21-5

Name: NCERT - Grade 09 - Mathematics - Number Systems - Q26_1
Uploaded: 2022-07-04T10:36:42+05:30
Description: 2^2/3.2^1/5 =2^2/3+1/5 =2^10+3/15 =2^13/15 ...

2^2/3.2^1/5 =2^2/3+1/5 =2^10+3/15 =2^13/15 ...

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Byju's Answer

Standard IX

Mathematics

Powers with Positive and Negative Exponents

Question 3 iS...

Question

Question 3 (i)
Simplify:

$2^{\frac{2}{3}} {.2}^{\frac{1}{5}}$

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Solution

$2^{\frac{2}{3}} {.2}^{\frac{1}{5}}$
$= 2^{\frac{2}{3} + \frac{1}{5}}$
$= 2^{\frac{10 + 3}{15}}$
$= 2^{\frac{13}{15}}$

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Question 2 (i)
Simplify $(3 + \sqrt{3}) (2 + \sqrt{2})$ .

Q. Simplify

2^{2 / 3} . 2^{1 / 5}

Q. Evaluate :

2^{\frac{2}{3}} . 2^{\frac{1}{3}}

Q. Simplify

2^{\frac{2}{3}} . 2^{\frac{1}{3}}

Q. Simplify each of the following:

2^{\frac{2}{3}} {.2}^{\frac{1}{7}}

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Powers with Positive and Negative Exponents

Standard IX Mathematics

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Question 3 (i) Simplify: 223.215

223.215 =223+15 =210+315 =21315

Question 3 (i)
Simplify:

$2^{\frac{2}{3}} {.2}^{\frac{1}{5}}$

$2^{\frac{2}{3}} {.2}^{\frac{1}{5}}$
$= 2^{\frac{2}{3} + \frac{1}{5}}$
$= 2^{\frac{10 + 3}{15}}$
$= 2^{\frac{13}{15}}$