823

Multiply 823 by 232232.

823⋅232232

Multiply 823 and 232232.

823223232

Raise 23 to the power of 1.

8232231232

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

8232231+2

Add 1 and 2.

8232233

Rewrite 233 as 2.

Use axn=axn to rewrite 23 as 213.

8232(213)3

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

8232213⋅3

Combine 13 and 3.

8232233

Cancel the common factor of 3.

Cancel the common factor.

8232233

Divide 1 by 1.

823221

823221

Evaluate the exponent.

82322

82322

82322

Factor 2 out of 8232.

2(4232)2

Cancel the common factors.

Factor 2 out of 2.

2(4232)2(1)

Cancel the common factor.

2(4232)2⋅1

Rewrite the expression.

42321

Divide 4232 by 1.

4232

4232

4232

Rewrite 232 as (22)13.

4223

Raise 2 to the power of 2.

443

The result can be shown in multiple forms.

Exact Form:

443

Decimal Form:

6.34960420…

Simplify 8/( cube root of 2)