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, meaning 2 is multiplied by itself 3 times (2 x 2 x 2).

Front

Write 10^3 in expanded form.

Back

10 x 10 x 10.

Front

What is the product of powers rule?

Back

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

Front

Simplify the expression x^5 * x^7.

Back

x^12.

Front

What is the quotient of powers rule?

Back

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

Front

Evaluate the expression using the quotient rule: x^8 / x^3.

Back

x^5.

Front

What is the power of a power rule?

Back

When raising a power to another power, multiply the exponents. For example, (x^a)^b = x^(a*b).

Front

Simplify: (ab^8c)(a^-17c^10).

Back

(b^8c^11)/(a^16).

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one. For example, x^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.