Answer:
Step-by-step explanation:
#7
- 5⁵(16²5³)³ = 5⁵(2⁴)³(5³)³ = 5⁵2¹²5⁹ = 5¹⁴2¹²
#8
- (8⁴5³/8⁵)² = (5³/8)² = (5³)²/(2³)² = 5⁶ / 2⁶
#9
- (5⁸3⁷/5⁴)¹⁰ = (5⁴3⁷)¹⁰ = (5⁴)¹⁰(3⁷)¹⁰ = 5⁴⁰3⁷⁰
#10
Multiplying powers with same base:
- [tex]a^b*a^c=a^{b+c}[/tex]
- Same base with powers added up
Multiplying powers with same exponent but different base:
- [tex]a^b*c^b=(ac)^b[/tex]
- Same exponent with bases multiplied
