## Spring98 one year ago simplify 5^-4/5^3. Do I add the exponents?

1. CGGURUMANJUNATH

5^(-4-3)

2. Spring98

so will the answer be 5^7 @CGGURUMANJUNATH

3. anonymous

$\large \frac{x^n}{x^m} = x^{n-m}$ therefore $\frac{5^{-4}}{5^3} = 5^?$

4. Spring98

5^7

5. anonymous

Not quite. Remember that we are SUBTRACTING the power in the numerator from the power in the denominator.

6. Spring98

o so it would be 5^-1 right?

7. CGGURUMANJUNATH

5^(-7)

8. anonymous

no. -4 - 3 = - (4+3) = ?

9. anonymous

$\frac{ 1 }{ 5^{4} 5^{3}}$

10. Spring98

1/5^7

11. anonymous

Yes that's another way to do it @yinkim52001

12. anonymous

Good, and what is 5$$^7$$?

13. anonymous

which is$\frac{ 1 }{ 5^{7} }$

14. anonymous

15. anonymous

i know there's another way just show her the steps @Jhannybean

16. Spring98

thanks for your help.

17. anonymous

No problem