Radicals to exponential form

Front

What is the definition of a radical?

Back

A radical is a symbol that represents the root of a number, typically the square root, cube root, etc.

Front

How do you convert a radical expression to exponential form?

Back

To convert a radical expression to exponential form, use the formula: √a = a^(1/2) and for nth roots, use: a^(1/n).

Front

What is the exponential form of √x?

Back

The exponential form of √x is x^(1/2).

Front

What is the exponential form of √x⁵?

Back

The exponential form of √x⁵ is x^(5/2).

Front

What is the fractional exponent for the square root of a number?

Back

The fractional exponent for the square root of a number 'a' is 1/2, so √a = a^(1/2).

Front

What is the fractional exponent for the cube root of a number?

Back

The fractional exponent for the cube root of a number 'a' is 1/3, so ∛a = a^(1/3).

Front

What is the relationship between radicals and exponents?

Back

Radicals can be expressed as exponents; for example, √a = a^(1/2) and ∛a = a^(1/3).

Front

Simplify the expression: (√4)².

Back

The simplified expression is 4.

Front

What is the exponential form of √7?

Back

The exponential form of √7 is 7^(1/2).

Front

Convert the expression 7^(3/2) to radical form.

Back

The radical form of 7^(3/2) is √(7³) or √343.