studygirl18
(3q^2)^4 my answer 3q^8 am I right I hope ?



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zaynahf
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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!

studygirl18
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thxs

campbell_st
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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

studygirl18
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really?

anonymous
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you have to raise everything to the power of 4, not just the \(q^2\) part

campbell_st
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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

studygirl18
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okay

anonymous
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believe @campbell_st he is right

anonymous
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\((ab)^n=a^nb^n\) so \((3q^2)^4=3^4q^8\)

studygirl18
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12q^8 is the answer?

anonymous
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careful here

anonymous
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\(3^4\neq 3\times 4\)
\[3^3=3\times 3\times 3\times 3\]

anonymous
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typo there, i meant
\[3^4=3\times 3\times 3\times 3\]

studygirl18
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oh 81 I see its 81q^8

anonymous
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yes it is

studygirl18
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wow thxs