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

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1. Nnesha

hey! can you rewrite 64 in terms of base 4

2. Nnesha

4 to the what power =64 ?

3. anonymous

4^3 power =64?

4. Nnesha

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

5. Nnesha

now* not how

6. anonymous

im confused :/ @Nnesha

7. Michele_Laino

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

8. Nnesha

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 $\frac{ 1 }{ 4^3 }= ??$

9. anonymous

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

10. Nnesha

got it ? hm h= ?

11. anonymous

-3

12. Nnesha

right.

13. anonymous

What is 4.56 x 10⁸ written in standard form?

14. Nnesha

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 )

15. Nnesha

brb

16. Nnesha

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

17. Nnesha

the expo net is positive so we should move the decimal 8 places to the right |dw:1444148347825:dw| now there are only 2 number after decimal for the rest of place we should put 0

18. Nnesha

here is an example |dw:1444148490609:dw|