Solve 4 by 216 raise to minus 2 by 3 + 1 by 256 raise to 3 by 4 + 2 by 243 raise to 1 by 5

214 ...

Step-by-step explanation:

If the question is : solve 4 by 216 raise to minus 2 by 3 + 1 by 256 raise to minus 3 by 4 + 2 by 243 raise to minus 1 by 5

The given expression can be written as:

4 / (216) - 2/3+1 / (256) - 3/4+2 / (243) - 1/5

This expression has three terms.

Notice that the exponents are negative:

We will change the division into multiplication so that the exponents will become positive;

4 * (216) ^2/3 + 1 * (256) ^3/4 + 2 * (243) ^1/5

If we multiply 6 three times it will give us 6^3=6*6*6=216

If we multiply 4 four times it will give us 4^4=4*4*4*4=256

If we multiply 3 five times it will give us 3^5=3*3*3*3*3=243

So we will write it as:

=4 * (6^3) ^2/3 + 1 (4^4) 3/4 + 2 (3^5) ^1/5

=4 (6) ^2 + (4) ^3+2 (3)

=4*36+64+6

=144+64+6

=214

The answer is 214 ...