Converting Radical forms

Front

What is the exponential form of a radical expression?

Back

The exponential form of a radical expression is written using exponents. For example, √x can be expressed as x^(1/2).

Front

How do you convert a radical expression to exponential form?

Back

To convert a radical expression to exponential form, identify the root index and express it as a fractional exponent. For example, the cube root of x is written as x^(1/3).

Front

Simplify the expression 49^(-1/2).

Back

1/7

Front

What is the root index in the expression 12x^(5/8) when rewritten in radical form?

Back

8

Front

What is the relationship between radical and exponential forms?

Back

Radical forms can be expressed as exponential forms using fractional exponents, where the numerator is the power and the denominator is the root index.

Front

Convert the expression √(x^3) to exponential form.

Back

x^(3/2)

Front

What is the simplified form of 16^(3/4)?

Back

8

Front

How do you express the fourth root of x^5 in exponential form?

Back

x^(5/4)

Front

What is the value of 81^(-1/4)?

Back

1/3

Front

If a^(m/n) is in exponential form, what does it represent in radical form?

Back

It represents the nth root of a raised to the m power, or √[n]{a^m}.