Exponents and Scientific Notation-Module 1

Front

What is the product of powers rule?

Back

When multiplying two powers with the same base, add the exponents. For example, m^5 * m^6 = m^(5+6) = m^11.

Front

What is the quotient of powers rule?

Back

When dividing two powers with the same base, subtract the exponents. For example, y^8 / y^3 = y^(8-3) = y^5.

Front

What does the power of a power rule state?

Back

When raising a power to another power, multiply the exponents. For example, (w^-5)^3 = w^(-5*3) = w^-15.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. For example, 9x(3x + 5) = 27x^2 + 45x.

Front

How do you simplify a product of powers?

Back

To simplify a product of powers, add the exponents of the same base. For example, a^5 * a^3 = a^(5+3) = a^8.

Front

What is scientific notation?

Back

Scientific notation is a way to express numbers as a product of a number between 1 and 10 and a power of 10. For example, 3000 = 3.0 x 10^3.

Front

How do you convert a number to scientific notation?

Back

To convert to scientific notation, move the decimal point to create a number between 1 and 10, then count the number of places moved to determine the exponent of 10.

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one. For example, a^0 = 1.

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^-n = 1/a^n.

Front

What is the significance of the base in exponents?

Back

The base is the number that is being multiplied by itself. In the expression m^n, m is the base and n is the exponent.