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Question 1 of 5
Simplify
6×a2×4a3×a6×a2×4a3×a
Incorrect
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First, separate the numbers and the variables and bring like terms together.
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6×a2×4a3×a6×a2×4a3×a |
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6×a2×4×a3×a6×a2×4×a3×a |
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6×4×a2×a3×a6×4×a2×a3×a |
Next, using the Product of Powers, bring similar bases together.
Remember that any base without a power means to the power of 11.
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6×4×a2×a3×a6×4×a2×a3×a |
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6161××4141××a2a2××a3a3××a1a1 |
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24×a2+3+124×a2+3+1 |
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24×a624×a6 |
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24a624a6 |
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Question 2 of 5
Simplify
a×a×a×aa×aa×a×a×aa×a
Incorrect
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Using the Product of Powers, bring similar bases together.
Remember that any base without a power means to the power of 11.
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a×a×a×aa×aa×a×a×aa×a |
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a1×a1×a1×a1a1×a1a1×a1×a1×a1a1×a1 |
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a1+1+1+1a1+1a1+1+1+1a1+1 |
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a4a2a4a2 |
Simplify further using the Quotient of Powers.
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a4a2a4a2 |
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a4−2a4−2 |
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a2a2 |
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Question 3 of 5
Simplify
4c×c×cc×c4c×c×cc×c
Incorrect
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Using the Product of Powers, bring similar bases together.
Remember that any base without a power means to the power of 11.
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4c×c×cc×c4c×c×cc×c |
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4×c1×c1×c1c1×c14×c1×c1×c1c1×c1 |
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4×c1+1+1c1+14×c1+1+1c1+1 |
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4×c3c24×c3c2 |
Simplify further using the Quotient of Powers.
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4×c3c24×c3c2 |
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4c3−24c3−2 |
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4c4c |
A power of 11 does not need to be written |
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Question 4 of 5
Simplify
3×y×y×y×z×z×zy×y3×y×y×y×z×z×zy×y
Incorrect
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Using the Product of Powers, bring similar bases together.
Remember that any base without a power means to the power of 11.
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3×y×y×y×z×z×zy×y3×y×y×y×z×z×zy×y |
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3×y1×y1×y1×z1×z1×z1y1×y13×y1×y1×y1×z1×z1×z1y1×y1 |
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3×y1+1+1×z1+1+1y1+13×y1+1+1×z1+1+1y1+1 |
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3×y3×z3y23×y3×z3y2 |
Simplify further using the Quotient of Powers.
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3×y3×z3y23×y3×z3y2 |
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3y3−2×z33y3−2×z3 |
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3yz33yz3 |
A power of 11 does not need to be written |
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Question 5 of 5
Simplify
5a×2a×a×a×aa25a×2a×a×a×aa2
Incorrect
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Using the Product of Powers, bring similar bases together.
Remember that any base without a power means to the power of 11.
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5a×2a×a×a×aa25a×2a×a×a×aa2 |
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5×2×a1×a1×a1×a1×a1a25×2×a1×a1×a1×a1×a1a2 |
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10×a1+1+1+1+1a210×a1+1+1+1+1a2 |
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10×a5a210×a5a2 |
Simplify further using the Quotient of Powers.
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10×a5a210×a5a2 |
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10a5−210a5−2 |
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10a310a3 |