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# Laws of Exponents

TermDefinition
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
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