## anonymous one year ago Which expression is equivalent to 3^2 ⋅ 3^−5? fraction 1 over 3 to the power 3 fraction 1 over 3 to the power 7 fraction 1 over 3 to the power negative 3 fraction 1 over 3 to the power negative 7

1. Nnesha

when multiply same bases you should add their exponents $\huge\rm x^m \times x^n=x^{m+n}$

2. Nnesha

negative exponent $\huge\rm x^{-m}=\frac{ 1 }{ x^m}$ *flip the fraction*

3. Nnesha

any question ? did u understand ? yes or no ?

4. anonymous

yeah thanks

5. anonymous

so it will be fraction 1 over 3 to the power negative 7 @Nnesha ?

6. Nnesha

hmm no first add both exponents and then flip the fraction

7. anonymous

oh so its fraction 1 over 3 to the power 7

8. Nnesha

$\huge\rm 3^2 \times 3^{-5} = 3^{??}$

9. anonymous

i got 0.037... when i multiplied them

10. Nnesha

well don't use calculator read my first comment here is an example $\huge\rm 2^5 \times 2^{-6}= 2^{5+(-6)}$

11. anonymous

its A

12. Nnesha

how ? explain plz

13. anonymous

i don't know

14. Nnesha

hmm why did you say its A ? anyways $\huge\rm 3^2 \times 3^{-5} = 3^{2+(-5)}= 3^{??}$

15. Nnesha

when we multiply same bases we should add their exponents