8÷2

Rewrite the division as a fraction.

82

Multiply 82 by 22.

82⋅22

Multiply 82 and 22.

8222

Raise 2 to the power of 1.

82212

Raise 2 to the power of 1.

822121

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

8221+1

Add 1 and 1.

8222

Rewrite 22 as 2.

Use axn=axn to rewrite 2 as 212.

82(212)2

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

82212⋅2

Combine 12 and 2.

82222

Cancel the common factor of 2.

Cancel the common factor.

82222

Divide 1 by 1.

8221

8221

Evaluate the exponent.

822

822

822

Factor 2 out of 82.

2(42)2

Cancel the common factors.

Factor 2 out of 2.

2(42)2(1)

Cancel the common factor.

2(42)2⋅1

Rewrite the expression.

421

Divide 42 by 1.

42

42

42

The result can be shown in multiple forms.

Exact Form:

42

Decimal Form:

5.65685424…

Divide 8÷( square root of 2)