Question

a) 25¹⁰•5³²•125⁵
b)9⁴•27⁵•3¹⁴
c)2¹⁵•2¹²•8⁶​

Answer 1

a) 25^10•5^32•125^5=

(5^2)^10•5^32•(5^3)^5=

5^20•5^32•5^15=

5^(20+32+15)=

5^67

b)9^4•27^5•3^14=

(3^2)^4•(3^3)^5•3^14=

3^8•3^15•3^14=

3^(8+15+14)=

3^37

c) 2^15•2^12•8^6=

2^27•(2^3)^6=

2^27•2^18=

2^45

Answer 2

Răspuns:

a) 25¹⁰•5³²•125⁵=(5²)¹⁰·5³²·(5³)⁵=5²⁰·5³²·5¹⁵=5²⁰⁺³²⁺¹⁵=5⁶⁷

b)9⁴•27⁵•3¹⁴=(3²)⁴·(3³)⁵·3¹⁴=3⁸·3¹⁵·3¹⁴=3³⁷

c)2¹⁵•2¹²•8⁶​=2¹⁵·2¹²·(2³)⁶=2¹⁵·2¹²·2¹⁸=2⁴⁵