Question

What is the value of h? 4ʰ=1/64

Answer 1

hey!
can you rewrite 64 in terms of base `4`

Answer 2

4 to the what power =64 ?

Answer 3

4^3 power =64?

Answer 4

right \[\huge\rm 4^h =\frac{ 1 }{ 4^3 }\]we are working on right hand side
how move 4^3 to the top of the fraction
remember the exponent rule \[\huge\rm x^{-m}=\frac{ 1 }{ x^m }\]
when we flip the fraction sign of the `exponent` would change

Answer 5

now* not how

Answer 6

im confused :/ @Nnesha

Answer 7

we have this:
\[\frac{1}{{64}} = \frac{1}{{16 \cdot 4}} = \frac{1}{{4 \cdot 4 \cdot 4}} = \frac{1}{{{4^3}}} = {4^{ - 3}}\]

Answer 8

alright i'll give u some examples \[x^{-2} = \frac{ 1 }{ x^{2} }\]
it was negative 2 when i flip it it becomes positive 2
\[\large\rm \frac{ 1 }{ x^5 }=\frac{ x^{-5} }{ 1 }\] when i flipped the fraction to move x^5 to the top it becomes x^{-5}
so \[\frac{ 1 }{ 4^3 }= ??\]

Answer 9

okay, thanks could you help me with more? @Nnesha

Answer 10

got it ?
hm h= ?

Answer 11

-3

Answer 12

right.

Answer 13

What is 4.56 x 10⁸ written in standard form?

Answer 14

alright
S.N to Standard form
1st)move the decimal point to the right (the exponents tells us how many places to move right side )

Answer 15

brb

Answer 16

if the exponent is negative moves decimal to the left side
and if it's positive then right side

Answer 17

the expo net is positive so we should move the decimal 8 places to the right
now there are only 2 number after decimal for the rest of place we should put 0