Grade 8 Exponents and 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 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. For example, 5^0 = 1.

Front

What is the product of powers rule?

Back

The product of powers rule states that 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 power of a power rule?

Back

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

Front

What is the quotient of powers rule?

Back

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

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

Convert 4500 to scientific notation.

Back

4.5 x 10^3.

Front

Convert 0.0045 to scientific notation.

Back

4.5 x 10^-3.

Front

What is the value of x in the equation 10^5 x 10^x = 10^0?

Back

x = -5.

Front

Simplify -4x^0.

Back

-4, since any number raised to the power of 0 is 1.