Question

evaluate [3^-1*4^1+5^-1]^-1​

Answer 1

Step-by-step explanation:

Plz see the attachment above

plz mark it as the brainliest and give some ❤️❤️❤️

Answer 2

From the given question the correct answer is:

Hence, the answer of $[3^{-1} \times 4^{-1}+5^{-1}]^{-1​}$ is $=\frac{60}{17}$

Given:

$[3^{-1} \times 4^{-1}+5^{-1}]^{-1​}$

To find:

$[3^{-1} \times 4^{-1}+5^{-1}]^{-1​}$=?

Solution:

we have to evalute the given expresion

so,

$[3^{-1} \times 4^{-1}+5^{-1}]^{-1​}$

we know that,

$x^{-1} =\frac{1}{x}$

we will write the given expression

like

$=[\frac{1}{3}\times\frac{1}{4}+\frac{1}{5} ]^{-1}$

$=[\frac{1}{3\times4}+ \frac{1}{5} ]^{-1}\\=[\frac{1}{12}+ \frac{1}{5} ]^{-1}\\\\=[\frac{5+12}{12\times 5} ]^{-1}\\\\=[\frac{17}{60}] ^-1$

now inverse the fraction.

so we get

$=\frac{60}{17}$

Hence, the answer of $[3^{-1} \times 4^1+5^{-1}]^{-1​}$ is $=\frac{60}{17}$