Question

Help my children!
80² × 80⁹ × 80¹⁰⁰ ÷ 80²⁰⁰ =

Help!!​

Answer 1

Resposta:

$\longmapsto \boxed{ \rm{ \bold{ {80}^{ - 89} }}}$

Explicação passo-a-passo:

• ${a}^{n} \times {a}^{m} = {a}^{m + n}$
• ${a}^n \div {a}^{m} = {a}^{n - m}$

$\sf {80}^{2} \times {80}^{9} \times {80}^{100} \div {80}^{200} = ...$

$\longmapsto \sf {80}^{2 + 9 + 100} \div {80}^{200}$

$\longmapsto {80}^{111} \div {8}^{200}$

$\longmapsto {80}^{111 - 200}$

$\longmapsto \boxed{ \bold{ {80}^{ - 89}}}$