Dec 10 2024 Radicals part 2

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root or cube root.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, often by eliminating radicals or negative exponents.

Front

What is the cube root of 27?

Back

3

Front

What is the cube root of 64?

Back

4

Front

How do you simplify (x^(2/3))^4?

Back

x^(8/3) is the simplified form.

Front

What is the rule for multiplying powers with the same base?

Back

When multiplying powers with the same base, you add the exponents.

Front

What is the rule for dividing powers with the same base?

Back

When dividing powers with the same base, you subtract the exponents.

Front

What is the value of x^(0)?

Back

Any non-zero number raised to the power of 0 is 1.

Front

What does it mean for an exponent to be positive?

Back

A positive exponent indicates that the base is multiplied by itself a certain number of times.

Front

What is the relationship between radicals and exponents?

Back

Radicals can be expressed as fractional exponents; for example, the square root of x is x^(1/2).