Question

Solve the following 
8²÷8-²

options

4096

512

112



​

Answer 1

Answer:

4096

8²÷8-2

8²-(-2)

8²+²

8 to the power 4

Answer 2

Answer :

${(8)}^{2} \div {(8)}^{ - 2}$

when the power is negative , we write the reciprocal of the number with its positive power.

For eg:

${(x)}^{ - 1} = \frac{1}{ {x}^{1} }$

So similarly ;

${(8)}^{ - 2} = \frac{1}{ {(8)}^{2} }$

So , we substitute this in the question.

${(8)}^{2} \div \frac{1}{ {(8)}^{2} }$

${(8)}^{2} \times {(8)}^{2}$

[To Divide, We multiply with the reciprocal . Here the reciprocal of 1/8² is 8²]

${8}^{2} = 64$

So,$64 + 64 = 128$

128