Question

(-5)⁴ × (3/5)⁴ simplify​

Answer 1

Following are the steps for getting the answer:

Given:

$(-5)^{4}\times( \frac{3}{4})^{4}$

to find:

Simplify $(-5)^{4}\times( \frac{3}{4})^{4}$

Solution:

we have to simplify the given expression

first, we will expand $(-5)^{4}\times( \frac{3}{4})^{4}$

$= -5\times-5\times-5\times-5 \times\frac{3}{5}\times\frac{3}{5} \times\frac{3}{5} \times\frac{3}{5}\\\\=25\times-5\times-5\times\frac{3}{5}\times\frac{3}{5} \times\frac{3}{5} \times\frac{3}{5} \\\\=-125\times-5\times\frac{3}{5}\times\frac{3}{5} \times\frac{3}{5} \times\frac{3}{5} \\\\=625\times\frac{3}{5}\times\frac{3}{5}\times \frac{3}{5} \times\frac{3}{5} \\\\=625\times\frac{9}{25} \times \frac{3}{5} \times\frac{3}{5}\\\\=625\times\frac{27}{125} \times \frac{3}{5}\\\\=625\times\frac{81}{625}$

=81

Thus, the answer of $(-5)^{4}\times( \frac{3}{4})^{4}$ is 81

Answer 2

Given,

$(-5)^{4}\times(\frac{3}{5} )^{4}$

We have to simplify this given expression,

We know that

$-\times-=+$

$-\times+=-$

$-\times-\times-\times-=+$

So,

$= -5\times-5\times-5\times-5\times (\frac{3}{4} )^{2}$

$= 5^{4}\times (\frac{3}{5} )^{4}$

$= 625\times \frac{81}{625}$

$= 81$

Therefore, the answer is $81$.