Exponents and Scientific Notation Review

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, 3 is the exponent.

Front

What is the base in an exponential expression?

Back

The base is the number that is being multiplied by itself. In the expression 2^3, 2 is the base.

Front

Simplify: x^4 * x^2

Back

x^6

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is written as a product of a number between 1 and 10 and a power of 10.

Front

Which of the following is in scientific notation? 0.567 x 10^6, 5.67 x 10^5, 56.7 x 10^3

Back

5.67 x 10^5

Front

Simplify: z^15 / z^12

Back

z^3

Front

What does the exponent of 0 mean?

Back

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

Front

What is the product of powers property?

Back

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

Front

What is the quotient of powers property?

Back

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

Front

Convert 3000 to scientific notation.

Back

3.0 x 10^3