Question

find the value of 43 to the power of 3 by short-cut method​

Answer 1

We have to find value of (84)

3

using the short cut method.

We, know that

(a+b)

3

=a

3

+3a

b

+3ab

2

+b

3

So, here we assume a=8 and b=4

Step I:

In this step we calculate b

3

∴b

3

=4

3

=6

4

So, unit place of this value is last digit of our answer i.e 4

So, Answer:........4

And, remaining part i.e 6 is added in next step.

Step II:

In this step we calculate 3ab

2

∴3ab

2

=3×8×4

2

=384

Now, 6 from Step I is added to this value.

∴6+384=39

0

So, unit place of this value is 2

nd

last digit of our answer i.e 0

So, Answer:......04

And, remaining part i.e 39 is added in next step.

Step III:

In this step we calculate 3a

2

b

∴3a

2

b=3×8

2

×4=768

Now, 39 from Step II is added to this value.

∴39+768=80

7

So, unit place of this value is 3

rd

last digit of our answer i.e 7

So, Answer:....704

And, remaining part i.e 80 is added in next step.

Step IV:

In this step we calculate a

3

∴a

3

=8

3

=512

Now, 80 from Step III is added to this value.

∴80+512=

592

As, this is last step, this whole value is written in front of previous answer to get complete value of cube.

∴ answer:592704

∴(84)

3

=592704

Answer 2

Answer:

ok here's your answer friend

Step-by-step explanation:

43^3= 43×43×43 = 79507

Have nice day ahead

stay safe and blessed ❤