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 x 2 x 2 = 8).

Tags

CCSS.6.EE.A.1

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 x 4 = 16.

Tags

CCSS.6.EE.A.1

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.

Tags

CCSS.8.NS.A.1

Front

What is the square root of 25?

Back

The square root of 25 is 5, because 5 x 5 = 25.

Tags

CCSS.6.EE.A.1

Front

How do you simplify the expression 2^4 x 2^3?

Back

To simplify, add the exponents: 2^(4+3) = 2^7 = 128.

Tags

CCSS.8.EE.A.1

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.

Tags

CCSS.8.EE.A.1

Front

What is the product of powers property?

Back

The product of powers property states that when multiplying two powers with the same base, you add the exponents. For example, a^m x a^n = a^(m+n).

Tags

CCSS.8.EE.A.1

Front

What is the quotient of powers property?

Back

The quotient of powers property states that when dividing two powers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

Tags

CCSS.8.EE.A.1

Front

What is the power of a power property?

Back

The power of a power property states that when raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Tags

CCSS.8.EE.A.1

Front

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

Back

Using the power of a power property, (2^3)^2 = 2^(3*2) = 2^6 = 64.

Tags

CCSS.8.EE.A.1