Question

1. Zapisz w postaci jednej potęgi:
a) 16x 32x2⁴x8³
b) (5⁴)³x (-5)⁷x 125
c) (-8)²x (-16)³x (128) x (-2)⁷
d) 1/27x (1/9)³x (1/3)⁴ x 1/3
e) 3⁴x (-9)¹²
----------
-27 x 243²
f) (-2)⁴⁴x (2³)⁵/ 64
--------------------
1024 x (-128)³

z góry dziękuję :)

Answer 1

A)16*32*2^4*8^3=2^4*2^5*2^4*(2^3)^3=2^22
b)(5^4)^3*(-5)^7*125=5^12*(-5)^7*5^3=5^21*(-5)=-5^22
c)(-8)^2*(-16)^3*128*(-2)^7=(-2)^6*(-)2^12*2^6*(-)(2)^7=2^31
d)1/27*(1/9)^3*(1/3)^4*1/3=(1/3)^3*(1/3)^2*(1/3)4*1/3=(1/3)^10
e)3^4*(-9)^12=3^4*(-3)^24=3*28
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-27*243^2=(-3)^3*3^5=(-)*3^8
f)(-2)^44*(2^3)^5/64=2^44*2^15/2^6=2^53
1024*(-128)^3=2^10*(-2^6)^3=(-)2^28