SOLUTION: Simplify (-3a^3b^2)(4ab)/ 2a^7b in at least TWO ways. Explain each step.
Please help me with this and can you add the steps because they will help me figure out what I am doing w
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-> SOLUTION: Simplify (-3a^3b^2)(4ab)/ 2a^7b in at least TWO ways. Explain each step.
Please help me with this and can you add the steps because they will help me figure out what I am doing w
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Question 1014033: Simplify (-3a^3b^2)(4ab)/ 2a^7b in at least TWO ways. Explain each step.
Please help me with this and can you add the steps because they will help me figure out what I am doing wrong. Found 2 solutions by stanbon, Edwin McCravy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Simplify (-3a^3b^2)(4ab)/ 2a^7b in at least TWO ways. Explain each step.
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1st:: [-3a^3b^2*4ab]/(2a^7b)
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= [-12a^4b^3]/(2a^7b)
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= -6b^2/a^3
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2nd:: (-3a^3b^2)
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= -3a^3b^2
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= -6b^2/a^3
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Cheers,
Stan H.
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Method 1: By writing the exponents as repeated multiplications,
breaking 4 into prime factors and cancelling:
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Method 2: By adding exponents to multiply and then subtracting
exponents to divide:
Divide the -12 on the top by the 2 on the bottom, getting -6 on the
top.
Subtract the exponents of "a", 7-4 getting exponent 3 and putting
a3 on the bottom because the larger exponent of "a" was
on the bottom.
Subtract the exponents of "b", 3-1 (understood) getting exponent 2
and putting b2 on the top because the larger exponent of
"b" was on the top.
Edwin