Which is the simplified form of m^-8 p^0?
a: 1
–
m^8 p
b: 1
_
m^8
c: p
_
m^8
d: m^8

The correct option is B.

Step-by-step explanation:

The given expression is

According to the property of exponent.

Using this property, the given expression can be written as

The simplified form of given expression is,

Therefore option B is correct.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places