A work out the value of 1^2+2^3+3^4 b work out the value of 4^2 x 2^4

Below in bold.

Step-by-step explanation:

Use order of operations: the exponents are calculated first, then multiplication,  then addition.

a.  1^2+2^3+3^4

= 1 + 8 + 81

= 90.

b. 4^2 * 2^4

= 16 * 16

= 256.

90 and 256.

Step-by-step explanation:

1^2 + 2^3 + 3^4

Solve for the powers or exponents first.

1 + 8 + 81

Add the numbers.

= 90

4^2 × 2^4

Solve for the powers or exponents first.

16 × 16

Multiply the numbers.

16^2

= 256

the first one, all those points on the line just make a strait line.