Question

Scrie sub forma unei singure puteri cu exponent numărul natural:
a) 25¹⁰ • 5³² • 125⁵
b) 9⁴• 27⁵•3¹⁴
c) 2¹⁵ • 4¹²• 8⁶​

Answer 1

a)25^10•5^32•125^5=

(5^2)10•5^32•(5^3)^5=

5^20•5^32•5^15=

5^52•5^15=

5^67

b)9^4•27^5•3^14=

(3^2)^4•(3^3)^5•3^14=

3^8•3^15•3^14=

3^120•3^14=

3^134

c)2^15•4^12•8^6=

2^15•(2^2)^12•(2^3)^6=

2^15•2^24•2^18=

2^39•2^18=

2^57