Question

By which number should (4/9)^4 be divided to get the quotient (3/4)^-2 ?

Answer 1

it should be divided by 16÷729 means 0.021

I think it will help u

Answer 2

The correct answer is $\frac{16}{729}$.

Given: Quotient = $(\frac{3}{4} )^{-2}$.

The number = $(\frac{4}{9} )^{4}$.

To Find: Number by which $(\frac{4}{9} )^{4}$ should be divided.

Solution:

According to statement the equation is,

$(\frac{4}{9} )^{4}$ ÷ x = $(\frac{3}{4} )^{-2}$

$(\frac{4}{9} )^{4}$ ÷ x = $(\frac{4 }{3} )^{2}$

$(\frac{4}{9} )^{4}$ * $\frac{1}{x}$ = $(\frac{4 }{3} )^{2}$

$(\frac{4}{9} )^{4}$ * $(\frac{3}{4} )^{2} =x$

$x=(\frac{1}{4} )^{2} *9*(\frac{4}{9} )^{4}$

x = $\frac{4^{2} }{9^{3} }$

x = $\frac{16}{729}$

Hence, the value of x is $\frac{16}{729}$.

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