1.
a. m³*m⁴=m³⁺⁴=m⁷
b. (m⁵)³=m⁵°³=m¹⁵
c. m¹⁴/m⁸=m¹⁴⁻⁸=m⁶
d. (3m⁴)²=9m⁴°²=9m⁸
2.
a. 4a³b*(-2.5a⁴b⁵)=-10a³⁺⁴b¹⁺⁵=-10a⁷b⁶
b. (-2xy³)⁵=(-2)⁵x⁵y³°⁵=-32x⁵y¹⁵
3.
(9y²-5y+4)-(4y²-7)=9y²-5y+4-4y²+7=5y²-5y+11=y²-y+11/5=y²-y+1/4+39/20=(y-1/2)²+39/20
4.
(25³*5⁴)/125²=(5⁶*5⁴)/5⁶=5⁶⁺⁴⁻⁶=5⁴=625
5.
(3/4)x³y²*(-2xy⁴)²=(3x³y²(-2)²x²y²°⁴)/4=(4*3x⁵y¹⁰)/4=3x⁵y¹⁰
6.
(-1(1/3)a³b²)³*2(1/4)a⁴b=-(1/54)a¹³b⁷