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studygirl18

  • 2 years ago

(3q^2)^4 my answer 3q^8 am I right I hope ?

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  1. zaynahf
    • 2 years ago
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    When you have an exponent to a power, you multiply the exponents: \[(x ^{5})^{2}= x ^{10}\] And in your example, you're right!

  2. studygirl18
    • 2 years ago
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    thxs

  3. campbell_st
    • 2 years ago
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    you need to change 3 to 3^4 abd evaluate it the power of 4 is operating on the 3 and the q

  4. studygirl18
    • 2 years ago
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    really?

  5. satellite73
    • 2 years ago
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    you have to raise everything to the power of 4, not just the \(q^2\) part

  6. campbell_st
    • 2 years ago
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    your answer shows the power of 4 operating on q given your answer... the question would have been 3(q^2)^4

  7. studygirl18
    • 2 years ago
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    okay

  8. satellite73
    • 2 years ago
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    believe @campbell_st he is right

  9. satellite73
    • 2 years ago
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    \((ab)^n=a^nb^n\) so \((3q^2)^4=3^4q^8\)

  10. studygirl18
    • 2 years ago
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    12q^8 is the answer?

  11. satellite73
    • 2 years ago
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    careful here

  12. satellite73
    • 2 years ago
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    \(3^4\neq 3\times 4\) \[3^3=3\times 3\times 3\times 3\]

  13. satellite73
    • 2 years ago
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    typo there, i meant \[3^4=3\times 3\times 3\times 3\]

  14. studygirl18
    • 2 years ago
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    oh 81 I see its 81q^8

  15. satellite73
    • 2 years ago
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    yes it is

  16. studygirl18
    • 2 years ago
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    wow thxs

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