A day flashcard 11/12 radicals and exponents

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer. For example, 1, 4, 9, 16, and 25 are perfect squares.

Front

True or False: The number 27 is a perfect square.

Back

False

Front

What is the result of simplifying (x^3)^2?

Back

The result is x^6.

Front

What is the power of a power property in exponents?

Back

When raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

What is the result of (3n^4)^3?

Back

The result is 27n^{12}.

Front

What is the product of two square roots, such as √a * √b?

Back

The product is √(a*b).

Front

What is the simplified form of √8 * 3√5?

Back

The simplified form is 6√10.

Front

What happens when you multiply two square roots?

Back

You can multiply the numbers inside the square roots: √a * √b = √(a*b).

Front

If the bases are the same in an exponent expression, what do you do with the exponents?

Back

You add the exponents.

Front

What is the quotient of powers property in exponents?

Back

When dividing two powers with the same base, you subtract the exponents: a^m / a^n = a^(m-n).