# Interactive video lesson plan for: CBSE Class 9 Maths solutions Number Systems Ex 1.6 |Operations on Real numbers

#### Activity overview:

CBSE Class 9 Maths solutions Number Systems Ex 1.6 | Operations on Real nimbers

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00:02 Q1. Find :
00:28 (i) 64^(1/2)
01:02 Power of a power
If we take the power of a product, then result is a single exponential where the power is the product of the original exponents.
01:32 (ii)32^(1/5)
01:45 Factor tree of 32
02:34 Apply law of rational exponent Power of a power
03:15 (iii)125^(1/3)
03:30 factorization of 125
04:03 Power of a power: When raising a power to a power, multiply the exponents.

04:35 Q2. Find :
05:04 (i) 9^(3/2)
05:39 USE LAW OF EXPONENT:Power of a power
06:23 (ii) 32^(2/5)
08:00 (iii) 16^(3/4)
09:22 (iv) 125^(-1/3)
10:09 Apply law of rational exponent Power of a power
If we take the power of a product, then result is a single exponential where the power is the product of the original exponents.
10:35 changing sign of exponent
This Law of exponent states changing the sign of a exponent gives the reciprocal.

10:56 Q3. Simplify :
11:36 (i)2^(2/3) * 2^(1/5)
11:45 Product of exponentials with same base
This law of exponent states if we take the product of two exponentials with the same base, we simply add the exponents.
12:26 Addition of fractions 2/3 and 1/5.
13:46 (ii) (1 / (3^3))^7
14:10 Quotient of exponentials with same base
This law of exponent states if we take the quotient of two exponentials with the same base, we simply subtract the exponents.+
15:03 Apply law of exponent:Power of power
15:37 Apply law of exponent:changing sign of exponent
changing the sign of a exponent gives the reciprocal.
15:55 (iii) 11^(1/2) / 11^(1/4)
16:13 Apply law of exponent : Quotient of exponentials with same base
If we take the quotient of two exponentials with the same base, we simply subtract the exponents.
16:33 Subtraction of fractions.
17:56 (iv) 7^(1/2) * 8^(1/2)
18:12 Apply law of exponent : Power of a product
If we distribute the exponent over the different factors, we take the power of a product.

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