U6.L1.Exponents

Front

What is an exponent?

Back

An exponent is a mathematical notation indicating the number of times a number (the base) is multiplied by itself.

Front

What is the base in an exponential expression?

Back

The base is the number that is being raised to a power in an exponential expression.

Front

What is the value of 2³?

Back

2³ = 2 x 2 x 2 = 8.

Front

What does it mean when a number is raised to the power of zero?

Back

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

Front

How do you compare two exponential expressions with the same base?

Back

To compare two exponential expressions with the same base, compare their exponents; the one with the larger exponent is greater.

Front

What is the product of powers property?

Back

The product of powers property states that when multiplying two expressions with the same base, you add the exponents: a^m x aⁿ = a^m+n.

Front

What is the power of a power property?

Back

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

Front

What is the quotient of powers property?

Back

The quotient of powers property states that when dividing two expressions with the same base, you subtract the exponents: a^m / aⁿ = a^m-n.

Front

What is the value of 10⁵?

Back

10⁵ = 100,000.

Front

What is the equivalent expression for 4 x 4 x 4 x 4 x 4?

Back

4 x 4 x 4 x 4 x 4 = 4⁵.