Question

simplify using laws of exponents . 8¹⁶÷4-⁶
​

Answer 1

8¹⁶÷ 4–⁶

= 281,474,976,710,656 ÷ 0.0002441406

= 1.15292150E+18

Answer 2

( Answer:)

Step-by-step explanation:

( Laws of exponent :

1) a ^m X  a^ n = a ^ m+ n

2) ( a b) ^m = a ^m b^ m

3) ( a ^m)^n = a^ m X n

4 ) a ^m / a ^ n = a ^ m-n

5 ) ( a /b) ^m = a ^ m / b ^ m )  ( all laws are  important)

now ,8 ^ 16 ÷ 4 ^ -6   for this equation we can solve

       = 8 X 4 = 32

      =  16  X - 6 =  -   96

so , the answer is  32 ^ -96

the answer is - 96

= ( note : whether your question is wrong or not from this laws of exponents because in exponents , both the powers should be same or both the exponents should be same . in your question i has done normal multiplication).

= for example ,let me tell you

= by using (  a^ m X a ^ n = a ^ m + n )

= 8 ^  2 X 8 ^  5 = 8 ^ 2 + 5 = 8 ^ 7

= here in this example both the exponents are same and powers are different . so ,this is correct whether the powers should be equal or exponents.

= now by using second equation , ( a b) ^m = a ^m b^ m)

=

2 ^ 2 X  5^ 2 = 2 ^ 2  X 2  = 2 ^ 4  

= here , in this example both the exponents are different and powers are equal.

= rest all are like this using laws of exponent

hope it was help full

thank you