Question

5 ^ 1 - 5 ^ - 1 please tell the answer​

Answer 1

Answer:

5^1=5

5^-1=1/5

according to question,

5-1/5=25-1/5= 24/5

Answer 2

Answer:

$\gray{5^1-5^{-1}=\dfrac{24}{5}\quad \left(\mathrm{Decimal:\quad }\:4.8\right)}$

Step-by-step explanation:

$5^1-5^{-1}$

$\gray{\mathrm{Apply\:rule}\:a^1=a}$

$\gray{5^1=5}$

$=5-5^{-1}$

$\gray{\mathrm{Apply\:exponent\:rule}:\quad \:a^{-1}=\dfrac{1}{a}}$

$=5-\dfrac{1}{5}$

$\gray{\mathrm{Convert\:element\:to\:fraction}:\quad \:5=\dfrac{5\cdot \:5}{5}}$

$=\dfrac{5\cdot \:5}{5}-\dfrac{1}{5}$

$\gray{\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \dfrac{a}{c}\pm \dfrac{b}{c}=\dfrac{a\pm \:b}{c}}$

$=\dfrac{5\cdot \:5-1}{5}$

$\gray{5\cdot \:5-1=24}$

$=\dfrac{24}{5}$