Write -87-83 as a single exponent-

As we know that for any non zero integer 'a' and natural numbers m and n where m>n, we have;a^m/a^n=a^m n, i.e., we will subtract the powers in case we have sam ...

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Byju's Answer

Standard VII

Mathematics

Introduction of Numbers in Exponential Form

Write -87÷-83...

Question

Write ${(- 8)}^{7} \div {(- 8)}^{3}$ as a single exponent.

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Solution

As we know that for any non-zero integer $' a'$ and natural numbers $m$ and $n$ where $m > n$ , we have;
$\frac{a^{m}}{a^{n}} = a^{m - n}$ , i.e., we will subtract the powers in case we have same base and different powers in the division.
So, according to this, ${(- 8)}^{7} \div {(- 8)}^{3}$ $= {(- 8)}^{7 - 3} = {(- 8)}^{4}$ .
Hence, ${(- 8)}^{7} \div {(- 8)}^{3}$ as a single exponent will be equal to ${(- 8)}^{4}$ .

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Write (-8)7÷(-8)3 as a single exponent.

Write ${(- 8)}^{7} \div {(- 8)}^{3}$ as a single exponent.