Question

what number should be divided by (0.81)power 1/2 to give the result as 81?

Answer 1

Define x:

Let x be the number

Form the equation:

$x \div (0.81)^{\frac{1}{2} }$

Solve x:

$x \div (0.81)^{\frac{1}{2}} = 81$

write 0.81 as a fraction:

$x \div \bigg( \dfrac{81}{100} \bigg)^{\frac{1}{2}} = 81$

Write power of 1/2 to square root:

$x \div \bigg( \dfrac{\sqrt{81} }{\sqrt{100} } \bigg) = 81$

Square root 81/100:

$x \div \bigg( \dfrac{9 }{10 } \bigg) = 81$

Multiply both sides by 9/10:

$x = 81 \times \dfrac{9}{10}$

Evaluate the right-hand-side:

$x = 72.9$

Answer: The number is 72.9

Answer 2

The explanation to this condition is given below.

It includes 0.81*1/2 =x/0.81*1/2=81=x/0.405=81=x=81*0.405=32.805.

The entire calculation is entirely based on simple multiplication and division.  

These procedures are required to find out the exact value to the given condition.

The approximate value of the calculation is 32. It is the exact value to this question.