Laws of Exponents
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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To multiply powers with the same base __ | keep the base and add the exponents.
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To divide powers with the same base ___ | keep the base and subtract the exponents.
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When simplifying a base with a negative exponent _____. | 'relocate' the base, while changing the sign of the exponent .
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To simplify a power to a power _____. | keep the base and multiply the exponents.
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Simplify x⁰ | 1
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Simplify x⁻³ | 1/x³
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Simplify 3⁻² | 1/9
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Simplify (4x²)³ | 64x⁶
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Simpliffy (x²y⁶)(3x⁻³y) | (3y⁷)/x
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When raising a power to a power ___ | multiply the exponents together and keep the base the same.
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(½)³÷(½)⁵ | 4
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(4⁶)(4²) | 4⁸
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3⁷÷3² | 3⁵
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(3a²b⁶)⁴ | 81a⁸b²⁴
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(5⁴a⁶b³)÷(5²a⁸b ) | ( 25b²)÷a²
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Will (-5)⁶ have a positive or negative result? | Positive- the exponent is EVEN
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Will (-5)⁷ have a positive or negative result? | Negative- the base is negative, and the exponent is odd.
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15m⁵÷5m³ | 3m²
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(12x²y⁶)/(4x²y⁶) | 3
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(12x²y⁶)(1/3 x) | 4x³y⁶
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
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To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
garfieldwhitebooi
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