Evaluate:
$8^{4} \div 8$ .

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Solution

Step 1: Find the value of $8^{4}$ .
Given $8^{4} \div 8$ .
We know that
$(- 1)$ ^{odd number}= negative answer
$(- 1)$ ^{even number}= positive answer
Now,
In $8^{4}$ , base is $8$ and power is $4$ , which is an odd number.
$∴ 8^{4} = 8 \times 8 \times 8 \times 8 = 4096$ .
Step 2: Find the value of $8^{4} \div 8$ .
Thus, $8^{4} \div 8 = 4096 \div 8 = \frac{4096}{8} = 512$ .
Hence, $8^{4} \div 8 = 512$ .

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