## nuccioreggie one year ago Which expression is equivalent to 54 ⋅ 5–6? 5–10 56 fraction 1 over 5 to the power 2 fraction 1 over 5 to the power negative10

1. nuccioreggie

@whpalmer4

2. Vocaloid

rule of exponents: a^b/a^c = a^(b-c)

3. nuccioreggie

@Triciaal

4. nuccioreggie

@welshfella

5. nuccioreggie

6. whpalmer4

is that $54\cdot 5^{-6}$

7. whpalmer4

or $5^4\cdot 5^{-6}$?

8. whpalmer4

I'm guessing the latter

9. welshfella

I'm a bit confused by the question is it |dw:1433799168849:dw|

10. nuccioreggie

Yea the second one u drew @whpalmer4

11. whpalmer4

oh, yeah, it must be $5^4 * 5^{-6}$ okay, so rules of exponents, if you multiply two exponents with the same base, $b^m*b^n = b^{m+n}$

12. whpalmer4

here you have $5^4*5^{-6} = 5^{4+(-6)} =$

13. nuccioreggie

I think B

14. whpalmer4

B is $5^6$right?

15. whpalmer4

what does $4 + (-6) =$

16. nuccioreggie

-2

17. nuccioreggie

And yes it is

18. nuccioreggie

U there do you know the answer?

19. nuccioreggie

I have 1 more question by the way

20. nuccioreggie

Do you know the answer @welshfella

21. whpalmer4

so $5^{-2}$but does that appear in your answer choices?

22. whpalmer4

here's another property of exponents: $b^{-n} = \frac{1}{b^n}$

23. nuccioreggie

So ok its C

24. whpalmer4

yes. $5^{-2} = \frac{1}{5^2}$