Question
The value for $(-7)^6 \div 7^6$ is _________.
✓
Answer
Using law of exponents, $a^m \div a^n=(a)^{m-n}[\because$ a is non-zero integer$]$
$\therefore(-7)^6 \div 7^6=(-7)^6 \div 7^6\left[\left(-a^m\right)=\left(a^m\right)\right.$, if $m$ is an even number$]$
$=(7)^{6-6}=(7)^0=1\left[\because a^0=1\right]$
Hence,
$(-7)^6 \div 7^6=1$
$\therefore(-7)^6 \div 7^6=(-7)^6 \div 7^6\left[\left(-a^m\right)=\left(a^m\right)\right.$, if $m$ is an even number$]$
$=(7)^{6-6}=(7)^0=1\left[\because a^0=1\right]$
Hence,
$(-7)^6 \div 7^6=1$
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