(1,12)

Multiply 12 by 22.

(1,12⋅22)

Multiply 12 and 22.

(1,222)

Raise 2 to the power of 1.

(1,222)

Raise 2 to the power of 1.

(1,222)

Use the power rule aman=am+n to combine exponents.

(1,221+1)

Add 1 and 1.

(1,222)

Rewrite 22 as 2.

Use axn=axn to rewrite 2 as 212.

(1,2(212)2)

Apply the power rule and multiply exponents, (am)n=amn.

(1,2212⋅2)

Combine 12 and 2.

(1,2222)

Cancel the common factor of 2.

Cancel the common factor.

(1,2222)

Divide 1 by 1.

(1,22)

(1,22)

Evaluate the exponent.

(1,22)

(1,22)

(1,22)

The point is located in the first quadrant because x and y are both positive. The quadrants are labeled in counter-clockwise order, starting in the upper-right.

Quadrant 1

Find the Quadrant (1,1/( square root of 2))