Question

simplify (-7) ^6÷7^6​

Answer 1

Answer:

1...................

Answer 2

$\large\bold\red{Question}$

simplify (-7) ^6÷7^6

$\large\bold\blue{\underline{\underline{Solution}}}$

$\sf{Step\:1:}$ A negative base raised to an even power equals positive

$\implies \sf7 {}^{6} \div 7 {}^{6}$

$\large\bold\red{\underline{\underline{WHY?}}}$

$\bold\red{Why\:is\:the\:result\:is\:positive?}$

Because powers represent multiplacation, if the base is negative and the power is even, we will have an even number of negative factors in a product, so the result will be positive.

$\large\bold\red{\underline{\underline{Note:}}}$ Any expression divided by itself equals 1.

$\implies \sf1$

$\sf thus \: the \: answer \: is \: \: \sf\green{\boxed{\boxed{1}}}$

hope this help!