Question

1+2^2+3^3+4^4+5^5+6^6=​

Answer 1

Answer:

$1+2^2+3^3+4^4+5^5+6^6=50069$

Step-by-step explanation:

$1+2^2+3^3+4^4+5^5+6^6$

$\gray{\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}}$

$\gray{\mathrm{Calculate\:exponents}\:2^2\::\quad 4}$

$=1+4+3^3+4^4+5^5+6^6$

$\gray{\mathrm{Calculate\:exponents}\:3^3\::\quad 27}$

$=1+4+27+4^4+5^5+6^6$

$\gray{\mathrm{Calculate\:exponents}\:4^4\::\quad 256}$

$=1+4+27+256+5^5+6^6$

$\gray{\mathrm{Calculate\:exponents}\:5^5\::\quad 3125}$

$=1+4+27+256+3125+6^6$

$\gray{\mathrm{Calculate\:exponents}\:6^6\::\quad 46656}$

$=1+4+27+256+3125+46656$

$\black{\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:1+4+27+256+3125+46656\::\quad 50069}$

$1+4+27+256+3125+46656$

$\gray{1+4=5}$

$=5+27+256+3125+46656$

$\gray{5+27=32}$

$=32+256+3125+46656$

$\gray{32+256=288}$

$=288+3125+46656$

$\gray{288+3125=3413}$

$=3413+46656$

$\gray{3413+46656=50069}$

$=50069$