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BC Math 10 Powers Curriculum:

• Operations on powers wtih integral exponents
• Positive and negative exponents
• Exponent laws
• Evaluation using order of operations
• Numerical and variable bases

BC Math 10 Powers Lesson Examples:

1. 2^3
   Answer
   8
2. (-5)^3
   Answer
   -125
3. -3^2
   Answer
   -9
4. (-1)^{100}
   Answer
   1
5. (-1)^{123}
   Answer
   -1
6. -1^{666}
   Answer
   -1
7. -2(-2)^2
   Answer
   -8
8. -2^2-(-2)^2
   Answer
   -8
9. 0^1
   Answer
   0
10. 1^0
    Answer
    1
11. \pi^0
    Answer
    1
12. 0^0
    Answer
    Undefined
13. \left(\frac{2}{3}\right)^2
    Answer
    \frac{4}{9}
14. 2^{-3}
    Answer
    \frac{1}{8}
15. \left(\frac{3}{2}\right)^{-2}
    Answer
    \frac{4}{9}
16. -2(-2)^{-2}
    Answer
    -\frac{1}{2}
17. 4(-2)^{-3}\div \frac{1}{2^{-2}}
    Answer
    -\frac{1}{8}
18. a(2a^3\times 3a^2)
    Answer
    6a^6
19. \frac{x(x^2)(x^5)}{x^4}
    Answer
    x^4
20. (3x^3y^2)^3
    Answer
    8x^9y^6
21. \left(\frac{4x^5}{2x^3}\right)^3
    Answer
    8x^6
22. \left(\frac{3a}{9a^{-2}}\right)^2
    Answer
    \frac{a^6}{9}
23. \left(\frac{5x^2yz^3}{25x^{-1}y^3}\right)^{-3}
    Answer
    \frac{125y^6}{x^9z^9}
24. \left(\frac{2}{3}\right)^2+\left(\frac{3}{2}\right)^{-3}\div\frac{2}{3}+1
    Answer
    \frac{17}{9}
25. 16^{1-2x}=2^x
    Answer
    \frac{4}{9}
26. -3x\left(\frac{2x^5y^{-2}}{x^{-3}y^5}\right)^{-3}\div \frac{1}{x^{-3}y}
    Answer
    -\frac{3y^{22}}{8x^{26}}