## anonymous one year ago What is the value of h? 4ʰ=1/64

1. Nnesha

can you write 64 in terms of base 4 ?

2. anonymous

Yes

3. Nnesha

okay so 4 to what power = 64 ?

4. anonymous

16

5. Nnesha

4^{16} = 64 ?

6. anonymous

XD im stupid sorry its 3

7. Nnesha

yes right so $\huge\rm 4^h =\frac{ 1 }{ 4^3 }$ so we can write 64 as 4^3 now move the 4^3 to the top(numerator) flip the fraction when you flip the fraction sign of the exponent would change

8. anonymous

So it would be 4^-3?

9. Nnesha

yes right $\huge\rm 4^h=4^{-2}$ bases are the same so you can cancel thm out

10. Nnesha

here is an exxample $\huge\rm \cancel{2}^x=\cancel{2}^y~~~~~x=y$

11. anonymous

:)

12. anonymous

So H = -3

13. Nnesha

good