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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

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

thxs

3. campbell_st

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

really?

5. satellite73

you have to raise everything to the power of 4, not just the $$q^2$$ part

6. campbell_st

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

7. studygirl18

okay

8. satellite73

believe @campbell_st he is right

9. satellite73

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

10. studygirl18

12q^8 is the answer?

11. satellite73

careful here

12. satellite73

$$3^4\neq 3\times 4$$ $3^3=3\times 3\times 3\times 3$

13. satellite73

typo there, i meant $3^4=3\times 3\times 3\times 3$

14. studygirl18

oh 81 I see its 81q^8

15. satellite73

yes it is

16. studygirl18

wow thxs

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