Review of Radicals and Exponents

These flashcards focus on the simplification of radicals and the conversion between radical and exponential forms.

The process of simplifying the fifth root includes breaking down numbers like 160 into __.

factors, e.g., 80 and 2.

When breaking down the number 80, it can be expressed as and .

2 and 40.

A squared variable can be expressed as__ when divided by its index.

a squared remains inside since it cannot be paired out.

For the variable b to the power of 6, dividing by 5 gives a __ of 1.

remainder.

The formula for finding how many complete sets of c's come out is to divide the exponent by the __.

index.

The expression for a cube root becomes a radical when expressed as __.

a radical form.

To convert an exponent form back to a radical, if the index is 3, it would represent __.

a cube root.

Converting back to exponential form implies writing the base number with __ exponent.

the index as the denominator.

The first step in combining exponents is to __.

distribute the outer exponent.

When two variables share the same base and are connected by division, you __ the exponents.

subtract them.

In a simplification problem, if exponents in the numerator yield the same bases, you __ the exponents before combining them.

add.

To reduce the fraction after combining, you divide by the greatest common divisor, which allows you to __.

simplify the expression.