Question

Find the value of [(5⁻¹ ) - ( 6⁻¹)]⁻¹​

Answer 1

Answer:

-1 is answer

Step-by-step explanation:

please mark me as brainilist.

Answer 2

Given: The equation is$[(5^-^1)-(6^-^1)]^-^1$.

We have to solve the above expression.

By using the negative exponent rule, we are solving the above equation.

The negative exponent rule consists following steps:

• Turn the number into a fraction (put it over one).
• Flip the numerator into the denominator and vice versa.
• When a negative number switches places in a fraction it becomes a positive number.
• The goal of equations with negative exponents is to make them positive.

We are solving in the following way:

We have,

$[(5^-^1)-(6^-^1)]^-^1$

$=>[\frac{1}{5} -\frac{1}{6} ]^-^1\\\\=>[\frac{6\times 1-1\times5}{5\times6} ]^-^1\\\\=>(\frac{6-5}{30} )^-^1\\\\=>(\frac{1}{30} )^-^1\\\\=>30$

Hence, the value of the above equation is$30$.