Topic: "LAWS OF EXPONENTS"
A. Simplify of the following:
1.) (y10) (y²)
2.) (c²)¹⁵
3.) (m⁻¹⁰)⁻²
4.) b⁸/b¹²
5.) c⁸/c⁻²
6.) (a⁻³)⁻⁴
7.) x³y³/x³y⁵
8.) a⁶b⁹c¹⁰/a⁵ b⁸
9.) x²³/x²⁵
10.) m⁸n⁶p³/m⁻² p⁻⁵
A. Simplify of the following:
1.) (y10) (y²)
2.) (c²)¹⁵
3.) (m⁻¹⁰)⁻²
4.) b⁸/b¹²
5.) c⁸/c⁻²
6.) (a⁻³)⁻⁴
7.) x³y³/x³y⁵
8.) a⁶b⁹c¹⁰/a⁵ b⁸
9.) x²³/x²⁵
10.) m⁸n⁶p³/m⁻² p⁻⁵
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Answer:
1. (y^10)(y²)= y10+2= y¹²
2. (c²)^15= c2×15= c^30 c raise to 30
3. (m-^10)¯²=m-10×-2= m^20 m raise to 20
4. b^8/b¹²=b8-12=b-4= 1/b⁴
5. c^8/c¯²=c8-(-2)= c^10 c raise to 10
6. (a¯³)¯⁴=a-3×-4= a¹²
7. x³y³/x³y⁵= x3-3y3-5=x^0y-2= y²
8. a⁶b⁹c¹⁰/a⁵ b⁸=a6-5b9-8c^10= abc^10 abc raise to 10
9. x²³/x²⁵ =x23-25= x¯²= 1/x²
10. m⁸n⁶p³/m⁻² p⁻⁵ =m8-(-2)n^6p3-(-5)
= m^10n^6p^8