Exponents

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.

Front

What is the product rule for exponents?

Back

The product rule states that when multiplying two powers with the same base, you add the exponents. For example, x^a * x^b = x^(a+b).

Front

What is the quotient rule for exponents?

Back

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

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, (x^a)^b = x^(a*b).

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one. For example, 4^0 = 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, x^-a = 1/x^a.

Front

How do you express 10^3 in expanded form?

Back

10^3 can be expressed as 10 x 10 x 10.

Front

Simplify the expression x^5 * x^7.

Back

Using the product rule, x^5 * x^7 = x^(5+7) = x^12.

Front

Simplify the expression xy^-7.

Back

Using the negative exponent rule, xy^-7 = x/y^7.

Front

Evaluate 4^0.

Back

4^0 = 1.