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Constants and Variables

Evaluate:83×8...

Question

Evaluate:
$8^{3} \times 8^{- 5} \times 8^{4}$

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Solution

Step:Finding the value using laws of exponents

Given , $8^{3} \times 8^{- 5} \times 8^{4}$
Now,we know that
$8^{3} \times 8^{- 5} \times 8^{4} = 8^{3 + 4 - 5}$ [ $∵ a^{m} \times a^{n} = a^{m + n}$ ]
$= 8^{7 - 5}$
$= 8^{2}$
$= 64$

Hence ,the value of $8^{3} \times 8^{- 5} \times 8^{4}$ is $64$ .

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| 4 - 8 (3 - 12) | - | 5 - 11 | =

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Constants and Variables

Standard VIII Mathematics

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