Exponents/ Roots/ Scientific Notation

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 x 2 x 2.

Front

What does it mean to simplify an expression with an exponent?

Back

Simplifying an expression with an exponent means to reduce it to its simplest form, often by performing the multiplication indicated by the exponent.

Front

What is the value of any non-zero number raised to the power of 0?

Back

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

Front

How do you express 0.000457 in scientific notation?

Back

0.000457 can be expressed in scientific notation as 4.57 x 10^-4.

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, typically in the form a x 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you convert 4.3756 x 10^4 to standard form?

Back

To convert 4.3756 x 10^4 to standard form, you move the decimal point 4 places to the right, resulting in 43,756.

Front

What is the result of (-3)^2?

Back

The result of (-3)^2 is 9, because (-3) x (-3) = 9.

Front

What is the value of (-9)^0?

Back

The value of (-9)^0 is 1, as any non-zero number raised to the power of 0 equals 1.

Front

Which of the following is in scientific notation: 62.5 x 10^5 or 5.093 x 10^-4?

Back

5.093 x 10^-4 is in scientific notation because it has a coefficient between 1 and 10.

Front

How do you multiply numbers in scientific notation?

Back

To multiply numbers in scientific notation, multiply the coefficients and add the exponents. For example, (2 x 10^3) x (3 x 10^2) = 6 x 10^(3+2) = 6 x 10^5.