Please give me formula to find answer for 72 to the power (-0.152) and the steps to arrive at the answer?

Answer 1

72^-0.152 first write with out the negitive

1/72^.152 next thing of the decimal as a fraction 19/125

1
__
72^(19/125) then rewrite like this

1
____
125 root of (72^19)

then solve = .522

Answer 2

1) On a calculator you can use the y^x key to raise a number to a power. Enter the numbers in the following order:

72, y^x, (0.152, +/-) ,

you should get 0.5220.... as the answer.

2) using log base 10 = log , you can write

log (72)^(-0.152) = -0.152log72 using the fact that

the log of a number to a power equals the power times the log of the number.

now multiply (-0.152) x log72 = (-0.152)(1.8573320
= -0.2823145

So 72^(-0.152)= antilog(-02823145)
= 0.5220

Answer 3

With a calculator you type 72 {x^y}{-}0.152.

^ means raised to the power

72^(-0.152) can be written as (72^19)^(1/125)

It is still very difficult to do without a calculator. The practical way would be with log tables. You would use them to find log(72).

log(72^(-0.152)) = (-0.152) * log(72)

You would then lookup the number you get on the right side of this equation in the body of the log table to find its antilog.

Answer 4

An older way to do this would be to multiply the exponent by the log of 72, and then take the inverse log of the answer.

-0.152 X log 72 = -0.2823

10^(-0.2823) = 0.522

72^(-0.152) = 0.522

Answer 5

use a calculator

enter 72^(-0.152)

press enter