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anonymous

  • 4 years ago

(50x^2y^-4 )^3 (200x^-2y^4)

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  1. anonymous
    • 4 years ago
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    |dw:1327810924090:dw|

  2. anonymous
    • 4 years ago
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    I'm lost as to how to start this one

  3. campbell_st
    • 4 years ago
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    simplify the brackets 1st (1/4 x^4 y^-8)^3 so (1/4)^3 x(4 x 3) y^(-8x3) = x^12/(64y^8)

  4. anonymous
    • 4 years ago
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    @campbell, follow solution of campbell. but, you could also distribute first the power to the numbers in the parenthesis. .

  5. anonymous
    • 4 years ago
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    you mean ^3 to each number? including 50 and 200?

  6. anonymous
    • 4 years ago
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    |dw:1327811295683:dw|

  7. campbell_st
    • 4 years ago
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    look at it as small problems inside the brackets... 50/200 = 1/4 x^2/x^-2 = x^(2 -(-2) = x^4 (index law for division, subtract the powers) y^-4 /y^4 = y ^(-4 -4) = y^-8 so inside is 1/4 x^4 y ^-8 then raise each term to the power of 3

  8. anonymous
    • 4 years ago
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    1/4x^12y^24

  9. anonymous
    • 4 years ago
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    |dw:1328051304954:dw| distribute the power to all terms inside the parenthesis. @rule of exponent- power rule

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