click below
click below
Normal Size Small Size show me how
Review for Quiz Fri
Mostly Laws of Exponents
| Term | Definition |
|---|---|
| To multiply powers with the same base __ | keep the base and add the exponents. |
| To divide powers with the same base ___ | keep the base and subtract the exponents. |
| When simplifying a base with a negative exponent _____. | 'relocate' the base, while changing the sign of the exponent . |
| To simplify a power to a power _____. | keep the base and multiply the exponents. |
| Simplify x⁰ | 1 |
| Simplify x⁻³ | 1/x³ |
| Simplify 3⁻² | 1/9 |
| Simplify (4x²)³ | 64x⁶ |
| Simpliffy (x²y⁶)(3x⁻³y) | (3y⁷)/x |
| When raising a power to a power ___ | multiply the exponents together and keep the base the same. |
| (½)³÷(½)⁵ | 4 |
| (4⁶)(4²) | 4⁸ |
| 3⁷÷3² | 3⁵ |
| (3a²b⁶)⁴ | 81a⁸b²⁴ |
| (5⁴a⁶b³)÷(5²a⁸b ) | ( 25b²)÷a² |
| Will (-5)⁶ have a positive or negative result? | Positive- the exponent is EVEN |
| Will (-5)⁷ have a positive or negative result? | Negative- the base is negative, and the exponent is odd. |
| 15m⁵÷5m³ | 3m² |
| (12x²y⁶)/(4x²y⁶) | 3 |
| (12x²y⁶)(1/3 x) | 4x³y⁶ |
| i x i | i²=-1 |
| Zeros, Roots, and X-intercepts y=(x-4)(x+3) | Set y =0 x=4 and x=-3 or (4,0) and (-3,0) |
| i=√(-1) i²=-1 i³=-i i⁴=1 The pattern repeats every 4th power so i⁵=? i⁶=? ... | i⁵=i i⁶=-1 i^7=-i i⁸=1 |