Exponents and Radicals

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 * 2 * 2 = 8).

Front

What does it mean to square a number?

Back

To square a number means to raise it to the power of 2. For example, squaring 4 (4^2) means 4 * 4 = 16.

Front

What is a radical?

Back

A radical is a symbol that represents the root of a number. The most common radical is the square root, denoted by √. For example, √16 = 4.

Front

What is the square root of 25?

Back

The square root of 25 is 5, since 5 * 5 = 25.

Front

How do you multiply numbers with the same base?

Back

When multiplying numbers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

What is the value of 3^0?

Back

Any non-zero number raised to the power of 0 is 1. Therefore, 3^0 = 1.

Front

What is the product of 2^3 and 2^2?

Back

Using the rule of exponents, 2^3 * 2^2 = 2^(3+2) = 2^5 = 32.

Front

What is the quotient of 5^4 and 5^2?

Back

When dividing numbers with the same base, you subtract the exponents. Therefore, 5^4 / 5^2 = 5^(4-2) = 5^2 = 25.

Front

What is the value of (2^3)^2?

Back

When raising a power to another power, you multiply the exponents. Therefore, (2^3)^2 = 2^(3*2) = 2^6 = 64.

Front

What is the cube root of 27?

Back

The cube root of 27 is 3, since 3 * 3 * 3 = 27.