Question

What is the value of h? 4ʰ=1/64

Answer 1

can you write 64 in terms of base 4 ?

Answer 2

Yes

Answer 3

okay so 4 to what power = 64 ?

Answer 4

16

Answer 5

4^{16} = 64 ?

Answer 6

XD im stupid sorry its 3

Answer 7

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

Answer 8

So it would be 4^-3?

Answer 9

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

Answer 10

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

Answer 11

:)

Answer 12

So H = -3

Answer 13

good